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Finding the Third Proportional to 118,946 and 161,463

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Solution

The third proportional to 118,946 and 161,463 is: 219,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946 : 161,463 = 161,463 : x
  2. Step 2: Convert to fraction form
    118,946/161,463 = 161,463/x
  3. Step 3: Cross multiply
    118,946x = 161,463 × 161,463
  4. Step 4: Simplify right side
    118,946x = 26,070,300,369
  5. Step 5: Solve for x
    x = 26,070,300,369/118,946
  6. Step 6: Final answer
    x = 219,177.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.