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Finding the Third Proportional to 40,262 and 93,524

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Solution

The third proportional to 40,262 and 93,524 is: 217,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,262 : 93,524 = 93,524 : x
  2. Step 2: Convert to fraction form
    40,262/93,524 = 93,524/x
  3. Step 3: Cross multiply
    40,262x = 93,524 × 93,524
  4. Step 4: Simplify right side
    40,262x = 8,746,738,576
  5. Step 5: Solve for x
    x = 8,746,738,576/40,262
  6. Step 6: Final answer
    x = 217,245.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.