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Finding the Third Proportional to 80,102 and 170,560

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Solution

The third proportional to 80,102 and 170,560 is: 363,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,102 : 170,560 = 170,560 : x
  2. Step 2: Convert to fraction form
    80,102/170,560 = 170,560/x
  3. Step 3: Cross multiply
    80,102x = 170,560 × 170,560
  4. Step 4: Simplify right side
    80,102x = 29,090,713,600
  5. Step 5: Solve for x
    x = 29,090,713,600/80,102
  6. Step 6: Final answer
    x = 363,170.88

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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.