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Finding the Third Proportional to 68,370 and 148,398

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Solution

The third proportional to 68,370 and 148,398 is: 322,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,370 : 148,398 = 148,398 : x
  2. Step 2: Convert to fraction form
    68,370/148,398 = 148,398/x
  3. Step 3: Cross multiply
    68,370x = 148,398 × 148,398
  4. Step 4: Simplify right side
    68,370x = 22,021,966,404
  5. Step 5: Solve for x
    x = 22,021,966,404/68,370
  6. Step 6: Final answer
    x = 322,099.85

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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.