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Finding the Third Proportional to 85,892 and 125,106

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Solution

The third proportional to 85,892 and 125,106 is: 182,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,892 : 125,106 = 125,106 : x
  2. Step 2: Convert to fraction form
    85,892/125,106 = 125,106/x
  3. Step 3: Cross multiply
    85,892x = 125,106 × 125,106
  4. Step 4: Simplify right side
    85,892x = 15,651,511,236
  5. Step 5: Solve for x
    x = 15,651,511,236/85,892
  6. Step 6: Final answer
    x = 182,223.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.