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Finding the Third Proportional to 57,345.47 and 134,922.66

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Solution

The third proportional to 57,345.47 and 134,922.66 is: 317,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,345.47 : 134,922.66 = 134,922.66 : x
  2. Step 2: Convert to fraction form
    57,345.47/134,922.66 = 134,922.66/x
  3. Step 3: Cross multiply
    57,345.47x = 134,922.66 × 134,922.66
  4. Step 4: Simplify right side
    57,345.47x = 18,204,123,169.56
  5. Step 5: Solve for x
    x = 18,204,123,169.56/57,345.47
  6. Step 6: Final answer
    x = 317,446.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.