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Finding the Third Proportional to 41,988 and 88,800

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Solution

The third proportional to 41,988 and 88,800 is: 187,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,988 : 88,800 = 88,800 : x
  2. Step 2: Convert to fraction form
    41,988/88,800 = 88,800/x
  3. Step 3: Cross multiply
    41,988x = 88,800 × 88,800
  4. Step 4: Simplify right side
    41,988x = 7,885,440,000
  5. Step 5: Solve for x
    x = 7,885,440,000/41,988
  6. Step 6: Final answer
    x = 187,802.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.