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Finding the Third Proportional to 81,872 and 124,996

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Solution

The third proportional to 81,872 and 124,996 is: 190,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872 : 124,996 = 124,996 : x
  2. Step 2: Convert to fraction form
    81,872/124,996 = 124,996/x
  3. Step 3: Cross multiply
    81,872x = 124,996 × 124,996
  4. Step 4: Simplify right side
    81,872x = 15,624,000,016
  5. Step 5: Solve for x
    x = 15,624,000,016/81,872
  6. Step 6: Final answer
    x = 190,834.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.