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Finding the Third Proportional to 84,340 and 130,542

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Solution

The third proportional to 84,340 and 130,542 is: 202,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,340 : 130,542 = 130,542 : x
  2. Step 2: Convert to fraction form
    84,340/130,542 = 130,542/x
  3. Step 3: Cross multiply
    84,340x = 130,542 × 130,542
  4. Step 4: Simplify right side
    84,340x = 17,041,213,764
  5. Step 5: Solve for x
    x = 17,041,213,764/84,340
  6. Step 6: Final answer
    x = 202,053.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.