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Finding the Third Proportional to 87,681 and 191,763

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Solution

The third proportional to 87,681 and 191,763 is: 419,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,681 : 191,763 = 191,763 : x
  2. Step 2: Convert to fraction form
    87,681/191,763 = 191,763/x
  3. Step 3: Cross multiply
    87,681x = 191,763 × 191,763
  4. Step 4: Simplify right side
    87,681x = 36,773,048,169
  5. Step 5: Solve for x
    x = 36,773,048,169/87,681
  6. Step 6: Final answer
    x = 419,395.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.