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Finding the Third Proportional to 63,561.25 and 138,057

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Solution

The third proportional to 63,561.25 and 138,057 is: 299,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,561.25 : 138,057 = 138,057 : x
  2. Step 2: Convert to fraction form
    63,561.25/138,057 = 138,057/x
  3. Step 3: Cross multiply
    63,561.25x = 138,057 × 138,057
  4. Step 4: Simplify right side
    63,561.25x = 19,059,735,249
  5. Step 5: Solve for x
    x = 19,059,735,249/63,561.25
  6. Step 6: Final answer
    x = 299,864.07

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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.