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Finding the Third Proportional to 103,632 and 274,275

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Solution

The third proportional to 103,632 and 274,275 is: 725,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632 : 274,275 = 274,275 : x
  2. Step 2: Convert to fraction form
    103,632/274,275 = 274,275/x
  3. Step 3: Cross multiply
    103,632x = 274,275 × 274,275
  4. Step 4: Simplify right side
    103,632x = 75,226,775,625
  5. Step 5: Solve for x
    x = 75,226,775,625/103,632
  6. Step 6: Final answer
    x = 725,902.96

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.