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Finding the Third Proportional to 81,640 and 124,892

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Solution

The third proportional to 81,640 and 124,892 is: 191,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640 : 124,892 = 124,892 : x
  2. Step 2: Convert to fraction form
    81,640/124,892 = 124,892/x
  3. Step 3: Cross multiply
    81,640x = 124,892 × 124,892
  4. Step 4: Simplify right side
    81,640x = 15,598,011,664
  5. Step 5: Solve for x
    x = 15,598,011,664/81,640
  6. Step 6: Final answer
    x = 191,058.45

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