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Finding the Third Proportional to 40,271 and 87,463

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Solution

The third proportional to 40,271 and 87,463 is: 189,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,271 : 87,463 = 87,463 : x
  2. Step 2: Convert to fraction form
    40,271/87,463 = 87,463/x
  3. Step 3: Cross multiply
    40,271x = 87,463 × 87,463
  4. Step 4: Simplify right side
    40,271x = 7,649,776,369
  5. Step 5: Solve for x
    x = 7,649,776,369/40,271
  6. Step 6: Final answer
    x = 189,957.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.