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Finding the Third Proportional to 87,619 and 187,129

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Solution

The third proportional to 87,619 and 187,129 is: 399,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,619 : 187,129 = 187,129 : x
  2. Step 2: Convert to fraction form
    87,619/187,129 = 187,129/x
  3. Step 3: Cross multiply
    87,619x = 187,129 × 187,129
  4. Step 4: Simplify right side
    87,619x = 35,017,262,641
  5. Step 5: Solve for x
    x = 35,017,262,641/87,619
  6. Step 6: Final answer
    x = 399,653.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.