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Finding the Third Proportional to 68,449 and 148,532

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Solution

The third proportional to 68,449 and 148,532 is: 322,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,449 : 148,532 = 148,532 : x
  2. Step 2: Convert to fraction form
    68,449/148,532 = 148,532/x
  3. Step 3: Cross multiply
    68,449x = 148,532 × 148,532
  4. Step 4: Simplify right side
    68,449x = 22,061,755,024
  5. Step 5: Solve for x
    x = 22,061,755,024/68,449
  6. Step 6: Final answer
    x = 322,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.