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Finding the Third Proportional to 37,574 and 81,160

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Solution

The third proportional to 37,574 and 81,160 is: 175,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,574 : 81,160 = 81,160 : x
  2. Step 2: Convert to fraction form
    37,574/81,160 = 81,160/x
  3. Step 3: Cross multiply
    37,574x = 81,160 × 81,160
  4. Step 4: Simplify right side
    37,574x = 6,586,945,600
  5. Step 5: Solve for x
    x = 6,586,945,600/37,574
  6. Step 6: Final answer
    x = 175,305.95

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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.