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Finding the Third Proportional to 61,683.75 and 128,214.75

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Solution

The third proportional to 61,683.75 and 128,214.75 is: 266,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,683.75 : 128,214.75 = 128,214.75 : x
  2. Step 2: Convert to fraction form
    61,683.75/128,214.75 = 128,214.75/x
  3. Step 3: Cross multiply
    61,683.75x = 128,214.75 × 128,214.75
  4. Step 4: Simplify right side
    61,683.75x = 16,439,022,117.56
  5. Step 5: Solve for x
    x = 16,439,022,117.56/61,683.75
  6. Step 6: Final answer
    x = 266,504.91

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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.