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Finding the Third Proportional to 57,726.75 and 92,216.25

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Solution

The third proportional to 57,726.75 and 92,216.25 is: 147,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726.75 : 92,216.25 = 92,216.25 : x
  2. Step 2: Convert to fraction form
    57,726.75/92,216.25 = 92,216.25/x
  3. Step 3: Cross multiply
    57,726.75x = 92,216.25 × 92,216.25
  4. Step 4: Simplify right side
    57,726.75x = 8,503,836,764.06
  5. Step 5: Solve for x
    x = 8,503,836,764.06/57,726.75
  6. Step 6: Final answer
    x = 147,311.89

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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.