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Finding the Third Proportional to 37,901 and 81,778

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Solution

The third proportional to 37,901 and 81,778 is: 176,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,901 : 81,778 = 81,778 : x
  2. Step 2: Convert to fraction form
    37,901/81,778 = 81,778/x
  3. Step 3: Cross multiply
    37,901x = 81,778 × 81,778
  4. Step 4: Simplify right side
    37,901x = 6,687,641,284
  5. Step 5: Solve for x
    x = 6,687,641,284/37,901
  6. Step 6: Final answer
    x = 176,450.26

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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.