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Finding the Third Proportional to 80,114 and 170,582

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Solution

The third proportional to 80,114 and 170,582 is: 363,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114 : 170,582 = 170,582 : x
  2. Step 2: Convert to fraction form
    80,114/170,582 = 170,582/x
  3. Step 3: Cross multiply
    80,114x = 170,582 × 170,582
  4. Step 4: Simplify right side
    80,114x = 29,098,218,724
  5. Step 5: Solve for x
    x = 29,098,218,724/80,114
  6. Step 6: Final answer
    x = 363,210.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.