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Finding the Third Proportional to 71,267 and 153,581

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Solution

The third proportional to 71,267 and 153,581 is: 330,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,267 : 153,581 = 153,581 : x
  2. Step 2: Convert to fraction form
    71,267/153,581 = 153,581/x
  3. Step 3: Cross multiply
    71,267x = 153,581 × 153,581
  4. Step 4: Simplify right side
    71,267x = 23,587,123,561
  5. Step 5: Solve for x
    x = 23,587,123,561/71,267
  6. Step 6: Final answer
    x = 330,968.38

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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.