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Finding the Third Proportional to 81,207 and 124,981

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Solution

The third proportional to 81,207 and 124,981 is: 192,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,207 : 124,981 = 124,981 : x
  2. Step 2: Convert to fraction form
    81,207/124,981 = 124,981/x
  3. Step 3: Cross multiply
    81,207x = 124,981 × 124,981
  4. Step 4: Simplify right side
    81,207x = 15,620,250,361
  5. Step 5: Solve for x
    x = 15,620,250,361/81,207
  6. Step 6: Final answer
    x = 192,351.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.