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Finding the Third Proportional to 106,446 and 163,665

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Solution

The third proportional to 106,446 and 163,665 is: 251,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446 : 163,665 = 163,665 : x
  2. Step 2: Convert to fraction form
    106,446/163,665 = 163,665/x
  3. Step 3: Cross multiply
    106,446x = 163,665 × 163,665
  4. Step 4: Simplify right side
    106,446x = 26,786,232,225
  5. Step 5: Solve for x
    x = 26,786,232,225/106,446
  6. Step 6: Final answer
    x = 251,641.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.