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Finding the Third Proportional to 109,892 and 125,444

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Solution

The third proportional to 109,892 and 125,444 is: 143,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892 : 125,444 = 125,444 : x
  2. Step 2: Convert to fraction form
    109,892/125,444 = 125,444/x
  3. Step 3: Cross multiply
    109,892x = 125,444 × 125,444
  4. Step 4: Simplify right side
    109,892x = 15,736,197,136
  5. Step 5: Solve for x
    x = 15,736,197,136/109,892
  6. Step 6: Final answer
    x = 143,196.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.