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Finding the Third Proportional to 47,144 and 101,670

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Solution

The third proportional to 47,144 and 101,670 is: 219,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,144 : 101,670 = 101,670 : x
  2. Step 2: Convert to fraction form
    47,144/101,670 = 101,670/x
  3. Step 3: Cross multiply
    47,144x = 101,670 × 101,670
  4. Step 4: Simplify right side
    47,144x = 10,336,788,900
  5. Step 5: Solve for x
    x = 10,336,788,900/47,144
  6. Step 6: Final answer
    x = 219,259.90

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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.