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Finding the Third Proportional to 67,727.88 and 107,332.75

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Solution

The third proportional to 67,727.88 and 107,332.75 is: 170,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,727.88 : 107,332.75 = 107,332.75 : x
  2. Step 2: Convert to fraction form
    67,727.88/107,332.75 = 107,332.75/x
  3. Step 3: Cross multiply
    67,727.88x = 107,332.75 × 107,332.75
  4. Step 4: Simplify right side
    67,727.88x = 11,520,319,222.56
  5. Step 5: Solve for x
    x = 11,520,319,222.56/67,727.88
  6. Step 6: Final answer
    x = 170,097.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.