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Finding the Third Proportional to 49,944 and 75,453

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Solution

The third proportional to 49,944 and 75,453 is: 113,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,944 : 75,453 = 75,453 : x
  2. Step 2: Convert to fraction form
    49,944/75,453 = 75,453/x
  3. Step 3: Cross multiply
    49,944x = 75,453 × 75,453
  4. Step 4: Simplify right side
    49,944x = 5,693,155,209
  5. Step 5: Solve for x
    x = 5,693,155,209/49,944
  6. Step 6: Final answer
    x = 113,990.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.