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Finding the Third Proportional to 47,439 and 101,913

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Solution

The third proportional to 47,439 and 101,913 is: 218,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,439 : 101,913 = 101,913 : x
  2. Step 2: Convert to fraction form
    47,439/101,913 = 101,913/x
  3. Step 3: Cross multiply
    47,439x = 101,913 × 101,913
  4. Step 4: Simplify right side
    47,439x = 10,386,259,569
  5. Step 5: Solve for x
    x = 10,386,259,569/47,439
  6. Step 6: Final answer
    x = 218,939.26

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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.