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Finding the Third Proportional to 63,969 and 96,015

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Solution

The third proportional to 63,969 and 96,015 is: 144,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,969 : 96,015 = 96,015 : x
  2. Step 2: Convert to fraction form
    63,969/96,015 = 96,015/x
  3. Step 3: Cross multiply
    63,969x = 96,015 × 96,015
  4. Step 4: Simplify right side
    63,969x = 9,218,880,225
  5. Step 5: Solve for x
    x = 9,218,880,225/63,969
  6. Step 6: Final answer
    x = 144,114.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.