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Finding the Third Proportional to 83,029 and 125,526

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Solution

The third proportional to 83,029 and 125,526 is: 189,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029 : 125,526 = 125,526 : x
  2. Step 2: Convert to fraction form
    83,029/125,526 = 125,526/x
  3. Step 3: Cross multiply
    83,029x = 125,526 × 125,526
  4. Step 4: Simplify right side
    83,029x = 15,756,776,676
  5. Step 5: Solve for x
    x = 15,756,776,676/83,029
  6. Step 6: Final answer
    x = 189,774.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.