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Finding the Third Proportional to 71,756 and 146,432

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Solution

The third proportional to 71,756 and 146,432 is: 298,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,756 : 146,432 = 146,432 : x
  2. Step 2: Convert to fraction form
    71,756/146,432 = 146,432/x
  3. Step 3: Cross multiply
    71,756x = 146,432 × 146,432
  4. Step 4: Simplify right side
    71,756x = 21,442,330,624
  5. Step 5: Solve for x
    x = 21,442,330,624/71,756
  6. Step 6: Final answer
    x = 298,822.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.