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Finding the Third Proportional to 107,983.13 and 169,629.19

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Solution

The third proportional to 107,983.13 and 169,629.19 is: 266,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.13 : 169,629.19 = 169,629.19 : x
  2. Step 2: Convert to fraction form
    107,983.13/169,629.19 = 169,629.19/x
  3. Step 3: Cross multiply
    107,983.13x = 169,629.19 × 169,629.19
  4. Step 4: Simplify right side
    107,983.13x = 28,774,061,251.91
  5. Step 5: Solve for x
    x = 28,774,061,251.91/107,983.13
  6. Step 6: Final answer
    x = 266,468.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.