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Finding the Third Proportional to 83,140 and 124,382

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Solution

The third proportional to 83,140 and 124,382 is: 186,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140 : 124,382 = 124,382 : x
  2. Step 2: Convert to fraction form
    83,140/124,382 = 124,382/x
  3. Step 3: Cross multiply
    83,140x = 124,382 × 124,382
  4. Step 4: Simplify right side
    83,140x = 15,470,881,924
  5. Step 5: Solve for x
    x = 15,470,881,924/83,140
  6. Step 6: Final answer
    x = 186,082.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.