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Finding the Third Proportional to 71,800 and 152,240

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Solution

The third proportional to 71,800 and 152,240 is: 322,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,800 : 152,240 = 152,240 : x
  2. Step 2: Convert to fraction form
    71,800/152,240 = 152,240/x
  3. Step 3: Cross multiply
    71,800x = 152,240 × 152,240
  4. Step 4: Simplify right side
    71,800x = 23,177,017,600
  5. Step 5: Solve for x
    x = 23,177,017,600/71,800
  6. Step 6: Final answer
    x = 322,799.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.