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Finding the Third Proportional to 47,086 and 101,640

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Solution

The third proportional to 47,086 and 101,640 is: 219,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,086 : 101,640 = 101,640 : x
  2. Step 2: Convert to fraction form
    47,086/101,640 = 101,640/x
  3. Step 3: Cross multiply
    47,086x = 101,640 × 101,640
  4. Step 4: Simplify right side
    47,086x = 10,330,689,600
  5. Step 5: Solve for x
    x = 10,330,689,600/47,086
  6. Step 6: Final answer
    x = 219,400.45

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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.