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Finding the Third Proportional to 87,998 and 144,462

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Solution

The third proportional to 87,998 and 144,462 is: 237,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,998 : 144,462 = 144,462 : x
  2. Step 2: Convert to fraction form
    87,998/144,462 = 144,462/x
  3. Step 3: Cross multiply
    87,998x = 144,462 × 144,462
  4. Step 4: Simplify right side
    87,998x = 20,869,269,444
  5. Step 5: Solve for x
    x = 20,869,269,444/87,998
  6. Step 6: Final answer
    x = 237,156.18

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.