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Finding the Third Proportional to 63,172.50 and 95,781

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Solution

The third proportional to 63,172.50 and 95,781 is: 145,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,172.50 : 95,781 = 95,781 : x
  2. Step 2: Convert to fraction form
    63,172.50/95,781 = 95,781/x
  3. Step 3: Cross multiply
    63,172.50x = 95,781 × 95,781
  4. Step 4: Simplify right side
    63,172.50x = 9,173,999,961
  5. Step 5: Solve for x
    x = 9,173,999,961/63,172.50
  6. Step 6: Final answer
    x = 145,221.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.