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Finding the Third Proportional to 96,294 and 144,177

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Solution

The third proportional to 96,294 and 144,177 is: 215,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,294 : 144,177 = 144,177 : x
  2. Step 2: Convert to fraction form
    96,294/144,177 = 144,177/x
  3. Step 3: Cross multiply
    96,294x = 144,177 × 144,177
  4. Step 4: Simplify right side
    96,294x = 20,787,007,329
  5. Step 5: Solve for x
    x = 20,787,007,329/96,294
  6. Step 6: Final answer
    x = 215,870.22

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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.