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Finding the Third Proportional to 48,470 and 102,800

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Solution

The third proportional to 48,470 and 102,800 is: 218,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470 : 102,800 = 102,800 : x
  2. Step 2: Convert to fraction form
    48,470/102,800 = 102,800/x
  3. Step 3: Cross multiply
    48,470x = 102,800 × 102,800
  4. Step 4: Simplify right side
    48,470x = 10,567,840,000
  5. Step 5: Solve for x
    x = 10,567,840,000/48,470
  6. Step 6: Final answer
    x = 218,028.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.