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Finding the Third Proportional to 96,077.25 and 144,423

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Solution

The third proportional to 96,077.25 and 144,423 is: 217,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,077.25 : 144,423 = 144,423 : x
  2. Step 2: Convert to fraction form
    96,077.25/144,423 = 144,423/x
  3. Step 3: Cross multiply
    96,077.25x = 144,423 × 144,423
  4. Step 4: Simplify right side
    96,077.25x = 20,858,002,929
  5. Step 5: Solve for x
    x = 20,858,002,929/96,077.25
  6. Step 6: Final answer
    x = 217,096.17

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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.