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Finding the Third Proportional to 63,906.75 and 138,390.94

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Solution

The third proportional to 63,906.75 and 138,390.94 is: 299,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,906.75 : 138,390.94 = 138,390.94 : x
  2. Step 2: Convert to fraction form
    63,906.75/138,390.94 = 138,390.94/x
  3. Step 3: Cross multiply
    63,906.75x = 138,390.94 × 138,390.94
  4. Step 4: Simplify right side
    63,906.75x = 19,152,051,582.13
  5. Step 5: Solve for x
    x = 19,152,051,582.13/63,906.75
  6. Step 6: Final answer
    x = 299,687.46

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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.