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Finding the Third Proportional to 63,550.13 and 138,166.88

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Solution

The third proportional to 63,550.13 and 138,166.88 is: 300,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,550.13 : 138,166.88 = 138,166.88 : x
  2. Step 2: Convert to fraction form
    63,550.13/138,166.88 = 138,166.88/x
  3. Step 3: Cross multiply
    63,550.13x = 138,166.88 × 138,166.88
  4. Step 4: Simplify right side
    63,550.13x = 19,090,085,347.27
  5. Step 5: Solve for x
    x = 19,090,085,347.27/63,550.13
  6. Step 6: Final answer
    x = 300,394.14

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Why These Related Problems?

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