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Finding the Third Proportional to 63,978 and 97,923

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Solution

The third proportional to 63,978 and 97,923 is: 149,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,978 : 97,923 = 97,923 : x
  2. Step 2: Convert to fraction form
    63,978/97,923 = 97,923/x
  3. Step 3: Cross multiply
    63,978x = 97,923 × 97,923
  4. Step 4: Simplify right side
    63,978x = 9,588,913,929
  5. Step 5: Solve for x
    x = 9,588,913,929/63,978
  6. Step 6: Final answer
    x = 149,878.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.