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Finding the Third Proportional to 92,061 and 123,714

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Solution

The third proportional to 92,061 and 123,714 is: 166,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,061 : 123,714 = 123,714 : x
  2. Step 2: Convert to fraction form
    92,061/123,714 = 123,714/x
  3. Step 3: Cross multiply
    92,061x = 123,714 × 123,714
  4. Step 4: Simplify right side
    92,061x = 15,305,153,796
  5. Step 5: Solve for x
    x = 15,305,153,796/92,061
  6. Step 6: Final answer
    x = 166,250.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.