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Finding the Third Proportional to 67,644.50 and 107,107

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Solution

The third proportional to 67,644.50 and 107,107 is: 169,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,644.50 : 107,107 = 107,107 : x
  2. Step 2: Convert to fraction form
    67,644.50/107,107 = 107,107/x
  3. Step 3: Cross multiply
    67,644.50x = 107,107 × 107,107
  4. Step 4: Simplify right side
    67,644.50x = 11,471,909,449
  5. Step 5: Solve for x
    x = 11,471,909,449/67,644.50
  6. Step 6: Final answer
    x = 169,591.16

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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.