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Finding the Third Proportional to 40,269 and 87,459

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Solution

The third proportional to 40,269 and 87,459 is: 189,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,269 : 87,459 = 87,459 : x
  2. Step 2: Convert to fraction form
    40,269/87,459 = 87,459/x
  3. Step 3: Cross multiply
    40,269x = 87,459 × 87,459
  4. Step 4: Simplify right side
    40,269x = 7,649,076,681
  5. Step 5: Solve for x
    x = 7,649,076,681/40,269
  6. Step 6: Final answer
    x = 189,949.51

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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.