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Finding the Third Proportional to 91,375 and 185,260

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Solution

The third proportional to 91,375 and 185,260 is: 375,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,375 : 185,260 = 185,260 : x
  2. Step 2: Convert to fraction form
    91,375/185,260 = 185,260/x
  3. Step 3: Cross multiply
    91,375x = 185,260 × 185,260
  4. Step 4: Simplify right side
    91,375x = 34,321,267,600
  5. Step 5: Solve for x
    x = 34,321,267,600/91,375
  6. Step 6: Final answer
    x = 375,608.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.