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Finding the Third Proportional to 48,749 and 71,277

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Solution

The third proportional to 48,749 and 71,277 is: 104,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,749 : 71,277 = 71,277 : x
  2. Step 2: Convert to fraction form
    48,749/71,277 = 71,277/x
  3. Step 3: Cross multiply
    48,749x = 71,277 × 71,277
  4. Step 4: Simplify right side
    48,749x = 5,080,410,729
  5. Step 5: Solve for x
    x = 5,080,410,729/48,749
  6. Step 6: Final answer
    x = 104,215.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.