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Finding the Third Proportional to 83,340 and 132,392

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Solution

The third proportional to 83,340 and 132,392 is: 210,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,340 : 132,392 = 132,392 : x
  2. Step 2: Convert to fraction form
    83,340/132,392 = 132,392/x
  3. Step 3: Cross multiply
    83,340x = 132,392 × 132,392
  4. Step 4: Simplify right side
    83,340x = 17,527,641,664
  5. Step 5: Solve for x
    x = 17,527,641,664/83,340
  6. Step 6: Final answer
    x = 210,314.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.