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Finding the Third Proportional to 88,588 and 187,976

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Solution

The third proportional to 88,588 and 187,976 is: 398,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,588 : 187,976 = 187,976 : x
  2. Step 2: Convert to fraction form
    88,588/187,976 = 187,976/x
  3. Step 3: Cross multiply
    88,588x = 187,976 × 187,976
  4. Step 4: Simplify right side
    88,588x = 35,334,976,576
  5. Step 5: Solve for x
    x = 35,334,976,576/88,588
  6. Step 6: Final answer
    x = 398,868.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.