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Finding the Third Proportional to 82,042.88 and 179,269.88

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Solution

The third proportional to 82,042.88 and 179,269.88 is: 391,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.88 : 179,269.88 = 179,269.88 : x
  2. Step 2: Convert to fraction form
    82,042.88/179,269.88 = 179,269.88/x
  3. Step 3: Cross multiply
    82,042.88x = 179,269.88 × 179,269.88
  4. Step 4: Simplify right side
    82,042.88x = 32,137,688,082.52
  5. Step 5: Solve for x
    x = 32,137,688,082.52/82,042.88
  6. Step 6: Final answer
    x = 391,718.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.