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Finding the Third Proportional to 57,342.09 and 134,927.58

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Solution

The third proportional to 57,342.09 and 134,927.58 is: 317,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342.09 : 134,927.58 = 134,927.58 : x
  2. Step 2: Convert to fraction form
    57,342.09/134,927.58 = 134,927.58/x
  3. Step 3: Cross multiply
    57,342.09x = 134,927.58 × 134,927.58
  4. Step 4: Simplify right side
    57,342.09x = 18,205,451,338.68
  5. Step 5: Solve for x
    x = 18,205,451,338.68/57,342.09
  6. Step 6: Final answer
    x = 317,488.43

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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.