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Finding the Third Proportional to 83,700.50 and 130,626.75

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Solution

The third proportional to 83,700.50 and 130,626.75 is: 203,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700.50 : 130,626.75 = 130,626.75 : x
  2. Step 2: Convert to fraction form
    83,700.50/130,626.75 = 130,626.75/x
  3. Step 3: Cross multiply
    83,700.50x = 130,626.75 × 130,626.75
  4. Step 4: Simplify right side
    83,700.50x = 17,063,347,815.56
  5. Step 5: Solve for x
    x = 17,063,347,815.56/83,700.50
  6. Step 6: Final answer
    x = 203,861.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.