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Finding the Third Proportional to 83,246.13 and 132,405.19

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Solution

The third proportional to 83,246.13 and 132,405.19 is: 210,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,246.13 : 132,405.19 = 132,405.19 : x
  2. Step 2: Convert to fraction form
    83,246.13/132,405.19 = 132,405.19/x
  3. Step 3: Cross multiply
    83,246.13x = 132,405.19 × 132,405.19
  4. Step 4: Simplify right side
    83,246.13x = 17,531,133,676.91
  5. Step 5: Solve for x
    x = 17,531,133,676.91/83,246.13
  6. Step 6: Final answer
    x = 210,593.99

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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.