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Finding the Third Proportional to 41,057 and 88,523

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Solution

The third proportional to 41,057 and 88,523 is: 190,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,057 : 88,523 = 88,523 : x
  2. Step 2: Convert to fraction form
    41,057/88,523 = 88,523/x
  3. Step 3: Cross multiply
    41,057x = 88,523 × 88,523
  4. Step 4: Simplify right side
    41,057x = 7,836,321,529
  5. Step 5: Solve for x
    x = 7,836,321,529/41,057
  6. Step 6: Final answer
    x = 190,864.45

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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.