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Finding the Third Proportional to 37,095 and 81,561

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Solution

The third proportional to 37,095 and 81,561 is: 179,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,095 : 81,561 = 81,561 : x
  2. Step 2: Convert to fraction form
    37,095/81,561 = 81,561/x
  3. Step 3: Cross multiply
    37,095x = 81,561 × 81,561
  4. Step 4: Simplify right side
    37,095x = 6,652,196,721
  5. Step 5: Solve for x
    x = 6,652,196,721/37,095
  6. Step 6: Final answer
    x = 179,328.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.