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Finding the Third Proportional to 47,767 and 102,577

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Solution

The third proportional to 47,767 and 102,577 is: 220,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,767 : 102,577 = 102,577 : x
  2. Step 2: Convert to fraction form
    47,767/102,577 = 102,577/x
  3. Step 3: Cross multiply
    47,767x = 102,577 × 102,577
  4. Step 4: Simplify right side
    47,767x = 10,522,040,929
  5. Step 5: Solve for x
    x = 10,522,040,929/47,767
  6. Step 6: Final answer
    x = 220,278.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.