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Finding the Third Proportional to 95,904 and 143,857.50

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Solution

The third proportional to 95,904 and 143,857.50 is: 215,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,904 : 143,857.50 = 143,857.50 : x
  2. Step 2: Convert to fraction form
    95,904/143,857.50 = 143,857.50/x
  3. Step 3: Cross multiply
    95,904x = 143,857.50 × 143,857.50
  4. Step 4: Simplify right side
    95,904x = 20,694,980,306.25
  5. Step 5: Solve for x
    x = 20,694,980,306.25/95,904
  6. Step 6: Final answer
    x = 215,788.50

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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.