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Finding the Third Proportional to 49,290 and 75,763

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Solution

The third proportional to 49,290 and 75,763 is: 116,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,290 : 75,763 = 75,763 : x
  2. Step 2: Convert to fraction form
    49,290/75,763 = 75,763/x
  3. Step 3: Cross multiply
    49,290x = 75,763 × 75,763
  4. Step 4: Simplify right side
    49,290x = 5,740,032,169
  5. Step 5: Solve for x
    x = 5,740,032,169/49,290
  6. Step 6: Final answer
    x = 116,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.