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Finding the Third Proportional to 82,006.31 and 133,909.88

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Solution

The third proportional to 82,006.31 and 133,909.88 is: 218,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006.31 : 133,909.88 = 133,909.88 : x
  2. Step 2: Convert to fraction form
    82,006.31/133,909.88 = 133,909.88/x
  3. Step 3: Cross multiply
    82,006.31x = 133,909.88 × 133,909.88
  4. Step 4: Simplify right side
    82,006.31x = 17,931,854,622.52
  5. Step 5: Solve for x
    x = 17,931,854,622.52/82,006.31
  6. Step 6: Final answer
    x = 218,664.32

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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.