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Finding the Third Proportional to 37,141 and 81,087

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Solution

The third proportional to 37,141 and 81,087 is: 177,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141 : 81,087 = 81,087 : x
  2. Step 2: Convert to fraction form
    37,141/81,087 = 81,087/x
  3. Step 3: Cross multiply
    37,141x = 81,087 × 81,087
  4. Step 4: Simplify right side
    37,141x = 6,575,101,569
  5. Step 5: Solve for x
    x = 6,575,101,569/37,141
  6. Step 6: Final answer
    x = 177,030.82

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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.