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Finding the Third Proportional to 96,400 and 144,088

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Solution

The third proportional to 96,400 and 144,088 is: 215,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400 : 144,088 = 144,088 : x
  2. Step 2: Convert to fraction form
    96,400/144,088 = 144,088/x
  3. Step 3: Cross multiply
    96,400x = 144,088 × 144,088
  4. Step 4: Simplify right side
    96,400x = 20,761,351,744
  5. Step 5: Solve for x
    x = 20,761,351,744/96,400
  6. Step 6: Final answer
    x = 215,366.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.