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Finding the Third Proportional to 68,552 and 149,560

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Solution

The third proportional to 68,552 and 149,560 is: 326,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,552 : 149,560 = 149,560 : x
  2. Step 2: Convert to fraction form
    68,552/149,560 = 149,560/x
  3. Step 3: Cross multiply
    68,552x = 149,560 × 149,560
  4. Step 4: Simplify right side
    68,552x = 22,368,193,600
  5. Step 5: Solve for x
    x = 22,368,193,600/68,552
  6. Step 6: Final answer
    x = 326,295.27

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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.