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Finding the Third Proportional to 40,253 and 87,421

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Solution

The third proportional to 40,253 and 87,421 is: 189,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,253 : 87,421 = 87,421 : x
  2. Step 2: Convert to fraction form
    40,253/87,421 = 87,421/x
  3. Step 3: Cross multiply
    40,253x = 87,421 × 87,421
  4. Step 4: Simplify right side
    40,253x = 7,642,431,241
  5. Step 5: Solve for x
    x = 7,642,431,241/40,253
  6. Step 6: Final answer
    x = 189,859.92

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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.