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Finding the Third Proportional to 95,983 and 143,992

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Solution

The third proportional to 95,983 and 143,992 is: 216,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,983 : 143,992 = 143,992 : x
  2. Step 2: Convert to fraction form
    95,983/143,992 = 143,992/x
  3. Step 3: Cross multiply
    95,983x = 143,992 × 143,992
  4. Step 4: Simplify right side
    95,983x = 20,733,696,064
  5. Step 5: Solve for x
    x = 20,733,696,064/95,983
  6. Step 6: Final answer
    x = 216,014.25

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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.