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Finding the Third Proportional to 49,350 and 106,581

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Solution

The third proportional to 49,350 and 106,581 is: 230,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350 : 106,581 = 106,581 : x
  2. Step 2: Convert to fraction form
    49,350/106,581 = 106,581/x
  3. Step 3: Cross multiply
    49,350x = 106,581 × 106,581
  4. Step 4: Simplify right side
    49,350x = 11,359,509,561
  5. Step 5: Solve for x
    x = 11,359,509,561/49,350
  6. Step 6: Final answer
    x = 230,182.56

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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.