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Finding the Third Proportional to 35,267 and 75,387

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Solution

The third proportional to 35,267 and 75,387 is: 161,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,267 : 75,387 = 75,387 : x
  2. Step 2: Convert to fraction form
    35,267/75,387 = 75,387/x
  3. Step 3: Cross multiply
    35,267x = 75,387 × 75,387
  4. Step 4: Simplify right side
    35,267x = 5,683,199,769
  5. Step 5: Solve for x
    x = 5,683,199,769/35,267
  6. Step 6: Final answer
    x = 161,147.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.