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Finding the Third Proportional to 106,472 and 165,549

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Solution

The third proportional to 106,472 and 165,549 is: 257,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472 : 165,549 = 165,549 : x
  2. Step 2: Convert to fraction form
    106,472/165,549 = 165,549/x
  3. Step 3: Cross multiply
    106,472x = 165,549 × 165,549
  4. Step 4: Simplify right side
    106,472x = 27,406,471,401
  5. Step 5: Solve for x
    x = 27,406,471,401/106,472
  6. Step 6: Final answer
    x = 257,405.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.