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Finding the Third Proportional to 96,288 and 144,168

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Solution

The third proportional to 96,288 and 144,168 is: 215,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,288 : 144,168 = 144,168 : x
  2. Step 2: Convert to fraction form
    96,288/144,168 = 144,168/x
  3. Step 3: Cross multiply
    96,288x = 144,168 × 144,168
  4. Step 4: Simplify right side
    96,288x = 20,784,412,224
  5. Step 5: Solve for x
    x = 20,784,412,224/96,288
  6. Step 6: Final answer
    x = 215,856.72

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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.