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Finding the Third Proportional to 57,717.38 and 92,205.75

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Solution

The third proportional to 57,717.38 and 92,205.75 is: 147,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,717.38 : 92,205.75 = 92,205.75 : x
  2. Step 2: Convert to fraction form
    57,717.38/92,205.75 = 92,205.75/x
  3. Step 3: Cross multiply
    57,717.38x = 92,205.75 × 92,205.75
  4. Step 4: Simplify right side
    57,717.38x = 8,501,900,333.06
  5. Step 5: Solve for x
    x = 8,501,900,333.06/57,717.38
  6. Step 6: Final answer
    x = 147,302.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.