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Finding the Third Proportional to 123,940 and 167,046

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Solution

The third proportional to 123,940 and 167,046 is: 225,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,940 : 167,046 = 167,046 : x
  2. Step 2: Convert to fraction form
    123,940/167,046 = 167,046/x
  3. Step 3: Cross multiply
    123,940x = 167,046 × 167,046
  4. Step 4: Simplify right side
    123,940x = 27,904,366,116
  5. Step 5: Solve for x
    x = 27,904,366,116/123,940
  6. Step 6: Final answer
    x = 225,144.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.