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Finding the Third Proportional to 95,976 and 143,982

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Solution

The third proportional to 95,976 and 143,982 is: 216,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,976 : 143,982 = 143,982 : x
  2. Step 2: Convert to fraction form
    95,976/143,982 = 143,982/x
  3. Step 3: Cross multiply
    95,976x = 143,982 × 143,982
  4. Step 4: Simplify right side
    95,976x = 20,730,816,324
  5. Step 5: Solve for x
    x = 20,730,816,324/95,976
  6. Step 6: Final answer
    x = 216,000.00

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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.