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Finding the Third Proportional to 47,548 and 102,062

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Solution

The third proportional to 47,548 and 102,062 is: 219,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548 : 102,062 = 102,062 : x
  2. Step 2: Convert to fraction form
    47,548/102,062 = 102,062/x
  3. Step 3: Cross multiply
    47,548x = 102,062 × 102,062
  4. Step 4: Simplify right side
    47,548x = 10,416,651,844
  5. Step 5: Solve for x
    x = 10,416,651,844/47,548
  6. Step 6: Final answer
    x = 219,076.55

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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.