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Finding the Third Proportional to 106,582 and 169,882

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Solution

The third proportional to 106,582 and 169,882 is: 270,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,582 : 169,882 = 169,882 : x
  2. Step 2: Convert to fraction form
    106,582/169,882 = 169,882/x
  3. Step 3: Cross multiply
    106,582x = 169,882 × 169,882
  4. Step 4: Simplify right side
    106,582x = 28,859,893,924
  5. Step 5: Solve for x
    x = 28,859,893,924/106,582
  6. Step 6: Final answer
    x = 270,776.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.