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Finding the Third Proportional to 57,599.16 and 126,269.72

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Solution

The third proportional to 57,599.16 and 126,269.72 is: 276,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,599.16 : 126,269.72 = 126,269.72 : x
  2. Step 2: Convert to fraction form
    57,599.16/126,269.72 = 126,269.72/x
  3. Step 3: Cross multiply
    57,599.16x = 126,269.72 × 126,269.72
  4. Step 4: Simplify right side
    57,599.16x = 15,944,041,873.20
  5. Step 5: Solve for x
    x = 15,944,041,873.20/57,599.16
  6. Step 6: Final answer
    x = 276,810.34

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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.