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Finding the Third Proportional to 95,984 and 143,994

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Solution

The third proportional to 95,984 and 143,994 is: 216,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,984 : 143,994 = 143,994 : x
  2. Step 2: Convert to fraction form
    95,984/143,994 = 143,994/x
  3. Step 3: Cross multiply
    95,984x = 143,994 × 143,994
  4. Step 4: Simplify right side
    95,984x = 20,734,272,036
  5. Step 5: Solve for x
    x = 20,734,272,036/95,984
  6. Step 6: Final answer
    x = 216,018.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.