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Finding the Third Proportional to 83,437.59 and 132,660.28

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Solution

The third proportional to 83,437.59 and 132,660.28 is: 210,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,437.59 : 132,660.28 = 132,660.28 : x
  2. Step 2: Convert to fraction form
    83,437.59/132,660.28 = 132,660.28/x
  3. Step 3: Cross multiply
    83,437.59x = 132,660.28 × 132,660.28
  4. Step 4: Simplify right side
    83,437.59x = 17,598,750,221.33
  5. Step 5: Solve for x
    x = 17,598,750,221.33/83,437.59
  6. Step 6: Final answer
    x = 210,921.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.