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Finding the Third Proportional to 40,910 and 88,650

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Solution

The third proportional to 40,910 and 88,650 is: 192,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,910 : 88,650 = 88,650 : x
  2. Step 2: Convert to fraction form
    40,910/88,650 = 88,650/x
  3. Step 3: Cross multiply
    40,910x = 88,650 × 88,650
  4. Step 4: Simplify right side
    40,910x = 7,858,822,500
  5. Step 5: Solve for x
    x = 7,858,822,500/40,910
  6. Step 6: Final answer
    x = 192,100.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.