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Finding the Third Proportional to 124,006.92 and 185,527.76

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Solution

The third proportional to 124,006.92 and 185,527.76 is: 277,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,006.92 : 185,527.76 = 185,527.76 : x
  2. Step 2: Convert to fraction form
    124,006.92/185,527.76 = 185,527.76/x
  3. Step 3: Cross multiply
    124,006.92x = 185,527.76 × 185,527.76
  4. Step 4: Simplify right side
    124,006.92x = 34,420,548,918.93
  5. Step 5: Solve for x
    x = 34,420,548,918.93/124,006.92
  6. Step 6: Final answer
    x = 277,569.58

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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.