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Finding the Third Proportional to 87,898 and 193,724

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Solution

The third proportional to 87,898 and 193,724 is: 426,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,898 : 193,724 = 193,724 : x
  2. Step 2: Convert to fraction form
    87,898/193,724 = 193,724/x
  3. Step 3: Cross multiply
    87,898x = 193,724 × 193,724
  4. Step 4: Simplify right side
    87,898x = 37,528,988,176
  5. Step 5: Solve for x
    x = 37,528,988,176/87,898
  6. Step 6: Final answer
    x = 426,960.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.