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Finding the Third Proportional to 50,509 and 74,785

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Solution

The third proportional to 50,509 and 74,785 is: 110,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509 : 74,785 = 74,785 : x
  2. Step 2: Convert to fraction form
    50,509/74,785 = 74,785/x
  3. Step 3: Cross multiply
    50,509x = 74,785 × 74,785
  4. Step 4: Simplify right side
    50,509x = 5,592,796,225
  5. Step 5: Solve for x
    x = 5,592,796,225/50,509
  6. Step 6: Final answer
    x = 110,728.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.