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Finding the Third Proportional to 49,418 and 107,572

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Solution

The third proportional to 49,418 and 107,572 is: 234,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,418 : 107,572 = 107,572 : x
  2. Step 2: Convert to fraction form
    49,418/107,572 = 107,572/x
  3. Step 3: Cross multiply
    49,418x = 107,572 × 107,572
  4. Step 4: Simplify right side
    49,418x = 11,571,735,184
  5. Step 5: Solve for x
    x = 11,571,735,184/49,418
  6. Step 6: Final answer
    x = 234,160.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.