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Finding the Third Proportional to 40,284 and 87,561

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Solution

The third proportional to 40,284 and 87,561 is: 190,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,284 : 87,561 = 87,561 : x
  2. Step 2: Convert to fraction form
    40,284/87,561 = 87,561/x
  3. Step 3: Cross multiply
    40,284x = 87,561 × 87,561
  4. Step 4: Simplify right side
    40,284x = 7,666,928,721
  5. Step 5: Solve for x
    x = 7,666,928,721/40,284
  6. Step 6: Final answer
    x = 190,321.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.