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Finding the Third Proportional to 63,969.75 and 96,972.19

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Solution

The third proportional to 63,969.75 and 96,972.19 is: 147,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,969.75 : 96,972.19 = 96,972.19 : x
  2. Step 2: Convert to fraction form
    63,969.75/96,972.19 = 96,972.19/x
  3. Step 3: Cross multiply
    63,969.75x = 96,972.19 × 96,972.19
  4. Step 4: Simplify right side
    63,969.75x = 9,403,605,148.54
  5. Step 5: Solve for x
    x = 9,403,605,148.54/63,969.75
  6. Step 6: Final answer
    x = 147,000.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.