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Finding the Third Proportional to 107,306.44 and 166,078.13

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Solution

The third proportional to 107,306.44 and 166,078.13 is: 257,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,306.44 : 166,078.13 = 166,078.13 : x
  2. Step 2: Convert to fraction form
    107,306.44/166,078.13 = 166,078.13/x
  3. Step 3: Cross multiply
    107,306.44x = 166,078.13 × 166,078.13
  4. Step 4: Simplify right side
    107,306.44x = 27,581,943,603.52
  5. Step 5: Solve for x
    x = 27,581,943,603.52/107,306.44
  6. Step 6: Final answer
    x = 257,039.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.