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Finding the Third Proportional to 85,026 and 124,941

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Solution

The third proportional to 85,026 and 124,941 is: 183,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,026 : 124,941 = 124,941 : x
  2. Step 2: Convert to fraction form
    85,026/124,941 = 124,941/x
  3. Step 3: Cross multiply
    85,026x = 124,941 × 124,941
  4. Step 4: Simplify right side
    85,026x = 15,610,253,481
  5. Step 5: Solve for x
    x = 15,610,253,481/85,026
  6. Step 6: Final answer
    x = 183,593.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.