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Finding the Third Proportional to 49,768 and 75,442

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Solution

The third proportional to 49,768 and 75,442 is: 114,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768 : 75,442 = 75,442 : x
  2. Step 2: Convert to fraction form
    49,768/75,442 = 75,442/x
  3. Step 3: Cross multiply
    49,768x = 75,442 × 75,442
  4. Step 4: Simplify right side
    49,768x = 5,691,495,364
  5. Step 5: Solve for x
    x = 5,691,495,364/49,768
  6. Step 6: Final answer
    x = 114,360.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.