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Finding the Third Proportional to 87,176 and 138,116

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Solution

The third proportional to 87,176 and 138,116 is: 218,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176 : 138,116 = 138,116 : x
  2. Step 2: Convert to fraction form
    87,176/138,116 = 138,116/x
  3. Step 3: Cross multiply
    87,176x = 138,116 × 138,116
  4. Step 4: Simplify right side
    87,176x = 19,076,029,456
  5. Step 5: Solve for x
    x = 19,076,029,456/87,176
  6. Step 6: Final answer
    x = 218,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.