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Finding the Third Proportional to 83,934 and 130,140

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Solution

The third proportional to 83,934 and 130,140 is: 201,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,934 : 130,140 = 130,140 : x
  2. Step 2: Convert to fraction form
    83,934/130,140 = 130,140/x
  3. Step 3: Cross multiply
    83,934x = 130,140 × 130,140
  4. Step 4: Simplify right side
    83,934x = 16,936,419,600
  5. Step 5: Solve for x
    x = 16,936,419,600/83,934
  6. Step 6: Final answer
    x = 201,782.59

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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.