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Finding the Third Proportional to 71,274 and 153,850

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Solution

The third proportional to 71,274 and 153,850 is: 332,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274 : 153,850 = 153,850 : x
  2. Step 2: Convert to fraction form
    71,274/153,850 = 153,850/x
  3. Step 3: Cross multiply
    71,274x = 153,850 × 153,850
  4. Step 4: Simplify right side
    71,274x = 23,669,822,500
  5. Step 5: Solve for x
    x = 23,669,822,500/71,274
  6. Step 6: Final answer
    x = 332,096.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.