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Finding the Third Proportional to 123,160.92 and 185,288.13

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Solution

The third proportional to 123,160.92 and 185,288.13 is: 278,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,160.92 : 185,288.13 = 185,288.13 : x
  2. Step 2: Convert to fraction form
    123,160.92/185,288.13 = 185,288.13/x
  3. Step 3: Cross multiply
    123,160.92x = 185,288.13 × 185,288.13
  4. Step 4: Simplify right side
    123,160.92x = 34,331,692,161.14
  5. Step 5: Solve for x
    x = 34,331,692,161.14/123,160.92
  6. Step 6: Final answer
    x = 278,754.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.