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Finding the Third Proportional to 82,031.06 and 133,948.69

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Solution

The third proportional to 82,031.06 and 133,948.69 is: 218,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,031.06 : 133,948.69 = 133,948.69 : x
  2. Step 2: Convert to fraction form
    82,031.06/133,948.69 = 133,948.69/x
  3. Step 3: Cross multiply
    82,031.06x = 133,948.69 × 133,948.69
  4. Step 4: Simplify right side
    82,031.06x = 17,942,250,882.97
  5. Step 5: Solve for x
    x = 17,942,250,882.97/82,031.06
  6. Step 6: Final answer
    x = 218,725.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.