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Finding the Third Proportional to 63,868 and 96,693

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Solution

The third proportional to 63,868 and 96,693 is: 146,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,868 : 96,693 = 96,693 : x
  2. Step 2: Convert to fraction form
    63,868/96,693 = 96,693/x
  3. Step 3: Cross multiply
    63,868x = 96,693 × 96,693
  4. Step 4: Simplify right side
    63,868x = 9,349,536,249
  5. Step 5: Solve for x
    x = 9,349,536,249/63,868
  6. Step 6: Final answer
    x = 146,388.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.