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Finding the Third Proportional to 61,816.50 and 133,486.50

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Solution

The third proportional to 61,816.50 and 133,486.50 is: 288,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,816.50 : 133,486.50 = 133,486.50 : x
  2. Step 2: Convert to fraction form
    61,816.50/133,486.50 = 133,486.50/x
  3. Step 3: Cross multiply
    61,816.50x = 133,486.50 × 133,486.50
  4. Step 4: Simplify right side
    61,816.50x = 17,818,645,682.25
  5. Step 5: Solve for x
    x = 17,818,645,682.25/61,816.50
  6. Step 6: Final answer
    x = 288,250.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.