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Finding the Third Proportional to 81,390 and 169,017

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Solution

The third proportional to 81,390 and 169,017 is: 350,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,390 : 169,017 = 169,017 : x
  2. Step 2: Convert to fraction form
    81,390/169,017 = 169,017/x
  3. Step 3: Cross multiply
    81,390x = 169,017 × 169,017
  4. Step 4: Simplify right side
    81,390x = 28,566,746,289
  5. Step 5: Solve for x
    x = 28,566,746,289/81,390
  6. Step 6: Final answer
    x = 350,985.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.