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Finding the Third Proportional to 49,997 and 70,317

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Solution

The third proportional to 49,997 and 70,317 is: 98,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,997 : 70,317 = 70,317 : x
  2. Step 2: Convert to fraction form
    49,997/70,317 = 70,317/x
  3. Step 3: Cross multiply
    49,997x = 70,317 × 70,317
  4. Step 4: Simplify right side
    49,997x = 4,944,480,489
  5. Step 5: Solve for x
    x = 4,944,480,489/49,997
  6. Step 6: Final answer
    x = 98,895.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.