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Finding the Third Proportional to 63,979.50 and 96,850

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Solution

The third proportional to 63,979.50 and 96,850 is: 146,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,979.50 : 96,850 = 96,850 : x
  2. Step 2: Convert to fraction form
    63,979.50/96,850 = 96,850/x
  3. Step 3: Cross multiply
    63,979.50x = 96,850 × 96,850
  4. Step 4: Simplify right side
    63,979.50x = 9,379,922,500
  5. Step 5: Solve for x
    x = 9,379,922,500/63,979.50
  6. Step 6: Final answer
    x = 146,608.25

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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.