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Finding the Third Proportional to 87,549 and 127,496.25

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Solution

The third proportional to 87,549 and 127,496.25 is: 185,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,549 : 127,496.25 = 127,496.25 : x
  2. Step 2: Convert to fraction form
    87,549/127,496.25 = 127,496.25/x
  3. Step 3: Cross multiply
    87,549x = 127,496.25 × 127,496.25
  4. Step 4: Simplify right side
    87,549x = 16,255,293,764.06
  5. Step 5: Solve for x
    x = 16,255,293,764.06/87,549
  6. Step 6: Final answer
    x = 185,670.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.