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Finding the Third Proportional to 47,578 and 102,464

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Solution

The third proportional to 47,578 and 102,464 is: 220,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578 : 102,464 = 102,464 : x
  2. Step 2: Convert to fraction form
    47,578/102,464 = 102,464/x
  3. Step 3: Cross multiply
    47,578x = 102,464 × 102,464
  4. Step 4: Simplify right side
    47,578x = 10,498,871,296
  5. Step 5: Solve for x
    x = 10,498,871,296/47,578
  6. Step 6: Final answer
    x = 220,666.51

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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.