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Finding the Third Proportional to 96,576 and 144,306

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Solution

The third proportional to 96,576 and 144,306 is: 215,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576 : 144,306 = 144,306 : x
  2. Step 2: Convert to fraction form
    96,576/144,306 = 144,306/x
  3. Step 3: Cross multiply
    96,576x = 144,306 × 144,306
  4. Step 4: Simplify right side
    96,576x = 20,824,221,636
  5. Step 5: Solve for x
    x = 20,824,221,636/96,576
  6. Step 6: Final answer
    x = 215,625.22

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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.