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Finding the Third Proportional to 83,601.75 and 130,951.13

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Solution

The third proportional to 83,601.75 and 130,951.13 is: 205,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601.75 : 130,951.13 = 130,951.13 : x
  2. Step 2: Convert to fraction form
    83,601.75/130,951.13 = 130,951.13/x
  3. Step 3: Cross multiply
    83,601.75x = 130,951.13 × 130,951.13
  4. Step 4: Simplify right side
    83,601.75x = 17,148,197,138.77
  5. Step 5: Solve for x
    x = 17,148,197,138.77/83,601.75
  6. Step 6: Final answer
    x = 205,117.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.