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Finding the Third Proportional to 48,723 and 75,244.50

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Solution

The third proportional to 48,723 and 75,244.50 is: 116,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,723 : 75,244.50 = 75,244.50 : x
  2. Step 2: Convert to fraction form
    48,723/75,244.50 = 75,244.50/x
  3. Step 3: Cross multiply
    48,723x = 75,244.50 × 75,244.50
  4. Step 4: Simplify right side
    48,723x = 5,661,734,780.25
  5. Step 5: Solve for x
    x = 5,661,734,780.25/48,723
  6. Step 6: Final answer
    x = 116,202.51

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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.