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Finding the Third Proportional to 59,096 and 129,674

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Solution

The third proportional to 59,096 and 129,674 is: 284,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,096 : 129,674 = 129,674 : x
  2. Step 2: Convert to fraction form
    59,096/129,674 = 129,674/x
  3. Step 3: Cross multiply
    59,096x = 129,674 × 129,674
  4. Step 4: Simplify right side
    59,096x = 16,815,346,276
  5. Step 5: Solve for x
    x = 16,815,346,276/59,096
  6. Step 6: Final answer
    x = 284,542.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.