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Finding the Third Proportional to 82,159.50 and 132,274.75

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Solution

The third proportional to 82,159.50 and 132,274.75 is: 212,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159.50 : 132,274.75 = 132,274.75 : x
  2. Step 2: Convert to fraction form
    82,159.50/132,274.75 = 132,274.75/x
  3. Step 3: Cross multiply
    82,159.50x = 132,274.75 × 132,274.75
  4. Step 4: Simplify right side
    82,159.50x = 17,496,609,487.56
  5. Step 5: Solve for x
    x = 17,496,609,487.56/82,159.50
  6. Step 6: Final answer
    x = 212,959.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.