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Finding the Third Proportional to 87,672 and 191,376

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Solution

The third proportional to 87,672 and 191,376 is: 417,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,672 : 191,376 = 191,376 : x
  2. Step 2: Convert to fraction form
    87,672/191,376 = 191,376/x
  3. Step 3: Cross multiply
    87,672x = 191,376 × 191,376
  4. Step 4: Simplify right side
    87,672x = 36,624,773,376
  5. Step 5: Solve for x
    x = 36,624,773,376/87,672
  6. Step 6: Final answer
    x = 417,747.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.