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Finding the Third Proportional to 47,187 and 101,754

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Solution

The third proportional to 47,187 and 101,754 is: 219,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,187 : 101,754 = 101,754 : x
  2. Step 2: Convert to fraction form
    47,187/101,754 = 101,754/x
  3. Step 3: Cross multiply
    47,187x = 101,754 × 101,754
  4. Step 4: Simplify right side
    47,187x = 10,353,876,516
  5. Step 5: Solve for x
    x = 10,353,876,516/47,187
  6. Step 6: Final answer
    x = 219,422.22

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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.