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Finding the Third Proportional to 47,349 and 102,080

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Solution

The third proportional to 47,349 and 102,080 is: 220,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349 : 102,080 = 102,080 : x
  2. Step 2: Convert to fraction form
    47,349/102,080 = 102,080/x
  3. Step 3: Cross multiply
    47,349x = 102,080 × 102,080
  4. Step 4: Simplify right side
    47,349x = 10,420,326,400
  5. Step 5: Solve for x
    x = 10,420,326,400/47,349
  6. Step 6: Final answer
    x = 220,074.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.