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Finding the Third Proportional to 63,712.50 and 138,501

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Solution

The third proportional to 63,712.50 and 138,501 is: 301,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,712.50 : 138,501 = 138,501 : x
  2. Step 2: Convert to fraction form
    63,712.50/138,501 = 138,501/x
  3. Step 3: Cross multiply
    63,712.50x = 138,501 × 138,501
  4. Step 4: Simplify right side
    63,712.50x = 19,182,527,001
  5. Step 5: Solve for x
    x = 19,182,527,001/63,712.50
  6. Step 6: Final answer
    x = 301,079.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.