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Finding the Third Proportional to 63,687 and 133,570.50

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Solution

The third proportional to 63,687 and 133,570.50 is: 280,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,687 : 133,570.50 = 133,570.50 : x
  2. Step 2: Convert to fraction form
    63,687/133,570.50 = 133,570.50/x
  3. Step 3: Cross multiply
    63,687x = 133,570.50 × 133,570.50
  4. Step 4: Simplify right side
    63,687x = 17,841,078,470.25
  5. Step 5: Solve for x
    x = 17,841,078,470.25/63,687
  6. Step 6: Final answer
    x = 280,136.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.