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Finding the Third Proportional to 57,897.28 and 92,439.56

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Solution

The third proportional to 57,897.28 and 92,439.56 is: 147,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897.28 : 92,439.56 = 92,439.56 : x
  2. Step 2: Convert to fraction form
    57,897.28/92,439.56 = 92,439.56/x
  3. Step 3: Cross multiply
    57,897.28x = 92,439.56 × 92,439.56
  4. Step 4: Simplify right side
    57,897.28x = 8,545,072,715.19
  5. Step 5: Solve for x
    x = 8,545,072,715.19/57,897.28
  6. Step 6: Final answer
    x = 147,590.22

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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.