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Finding the Third Proportional to 61,684.03 and 128,214.84

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Solution

The third proportional to 61,684.03 and 128,214.84 is: 266,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,684.03 : 128,214.84 = 128,214.84 : x
  2. Step 2: Convert to fraction form
    61,684.03/128,214.84 = 128,214.84/x
  3. Step 3: Cross multiply
    61,684.03x = 128,214.84 × 128,214.84
  4. Step 4: Simplify right side
    61,684.03x = 16,439,046,157.84
  5. Step 5: Solve for x
    x = 16,439,046,157.84/61,684.03
  6. Step 6: Final answer
    x = 266,504.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.