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Finding the Third Proportional to 41,650 and 93,754

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Solution

The third proportional to 41,650 and 93,754 is: 211,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650 : 93,754 = 93,754 : x
  2. Step 2: Convert to fraction form
    41,650/93,754 = 93,754/x
  3. Step 3: Cross multiply
    41,650x = 93,754 × 93,754
  4. Step 4: Simplify right side
    41,650x = 8,789,812,516
  5. Step 5: Solve for x
    x = 8,789,812,516/41,650
  6. Step 6: Final answer
    x = 211,039.92

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.