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Finding the Third Proportional to 49,909.13 and 108,124.13

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Solution

The third proportional to 49,909.13 and 108,124.13 is: 234,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909.13 : 108,124.13 = 108,124.13 : x
  2. Step 2: Convert to fraction form
    49,909.13/108,124.13 = 108,124.13/x
  3. Step 3: Cross multiply
    49,909.13x = 108,124.13 × 108,124.13
  4. Step 4: Simplify right side
    49,909.13x = 11,690,826,407.02
  5. Step 5: Solve for x
    x = 11,690,826,407.02/49,909.13
  6. Step 6: Final answer
    x = 234,242.26

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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.