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Finding the Third Proportional to 57,952 and 92,112

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Solution

The third proportional to 57,952 and 92,112 is: 146,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952 : 92,112 = 92,112 : x
  2. Step 2: Convert to fraction form
    57,952/92,112 = 92,112/x
  3. Step 3: Cross multiply
    57,952x = 92,112 × 92,112
  4. Step 4: Simplify right side
    57,952x = 8,484,620,544
  5. Step 5: Solve for x
    x = 8,484,620,544/57,952
  6. Step 6: Final answer
    x = 146,407.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.