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Finding the Third Proportional to 37,218 and 80,998

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Solution

The third proportional to 37,218 and 80,998 is: 176,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218 : 80,998 = 80,998 : x
  2. Step 2: Convert to fraction form
    37,218/80,998 = 80,998/x
  3. Step 3: Cross multiply
    37,218x = 80,998 × 80,998
  4. Step 4: Simplify right side
    37,218x = 6,560,676,004
  5. Step 5: Solve for x
    x = 6,560,676,004/37,218
  6. Step 6: Final answer
    x = 176,276.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.