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Finding the Third Proportional to 40,980 and 88,521

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Solution

The third proportional to 40,980 and 88,521 is: 191,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,980 : 88,521 = 88,521 : x
  2. Step 2: Convert to fraction form
    40,980/88,521 = 88,521/x
  3. Step 3: Cross multiply
    40,980x = 88,521 × 88,521
  4. Step 4: Simplify right side
    40,980x = 7,835,967,441
  5. Step 5: Solve for x
    x = 7,835,967,441/40,980
  6. Step 6: Final answer
    x = 191,214.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.