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Finding the Third Proportional to 108,019.13 and 168,144.75

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Solution

The third proportional to 108,019.13 and 168,144.75 is: 261,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,019.13 : 168,144.75 = 168,144.75 : x
  2. Step 2: Convert to fraction form
    108,019.13/168,144.75 = 168,144.75/x
  3. Step 3: Cross multiply
    108,019.13x = 168,144.75 × 168,144.75
  4. Step 4: Simplify right side
    108,019.13x = 28,272,656,952.56
  5. Step 5: Solve for x
    x = 28,272,656,952.56/108,019.13
  6. Step 6: Final answer
    x = 261,737.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.