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Finding the Third Proportional to 41,154 and 61,555

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Solution

The third proportional to 41,154 and 61,555 is: 92,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,154 : 61,555 = 61,555 : x
  2. Step 2: Convert to fraction form
    41,154/61,555 = 61,555/x
  3. Step 3: Cross multiply
    41,154x = 61,555 × 61,555
  4. Step 4: Simplify right side
    41,154x = 3,789,018,025
  5. Step 5: Solve for x
    x = 3,789,018,025/41,154
  6. Step 6: Final answer
    x = 92,069.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.