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Finding the Third Proportional to 63,154.69 and 136,429.31

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Solution

The third proportional to 63,154.69 and 136,429.31 is: 294,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,154.69 : 136,429.31 = 136,429.31 : x
  2. Step 2: Convert to fraction form
    63,154.69/136,429.31 = 136,429.31/x
  3. Step 3: Cross multiply
    63,154.69x = 136,429.31 × 136,429.31
  4. Step 4: Simplify right side
    63,154.69x = 18,612,957,309.22
  5. Step 5: Solve for x
    x = 18,612,957,309.22/63,154.69
  6. Step 6: Final answer
    x = 294,720.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.