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Finding the Third Proportional to 63,978 and 96,848.25

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Solution

The third proportional to 63,978 and 96,848.25 is: 146,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,978 : 96,848.25 = 96,848.25 : x
  2. Step 2: Convert to fraction form
    63,978/96,848.25 = 96,848.25/x
  3. Step 3: Cross multiply
    63,978x = 96,848.25 × 96,848.25
  4. Step 4: Simplify right side
    63,978x = 9,379,583,528.06
  5. Step 5: Solve for x
    x = 9,379,583,528.06/63,978
  6. Step 6: Final answer
    x = 146,606.39

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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.