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Finding the Third Proportional to 68,292 and 148,552

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Solution

The third proportional to 68,292 and 148,552 is: 323,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,292 : 148,552 = 148,552 : x
  2. Step 2: Convert to fraction form
    68,292/148,552 = 148,552/x
  3. Step 3: Cross multiply
    68,292x = 148,552 × 148,552
  4. Step 4: Simplify right side
    68,292x = 22,067,696,704
  5. Step 5: Solve for x
    x = 22,067,696,704/68,292
  6. Step 6: Final answer
    x = 323,137.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.