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Finding the Third Proportional to 125,899.50 and 195,231.75

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Solution

The third proportional to 125,899.50 and 195,231.75 is: 302,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,899.50 : 195,231.75 = 195,231.75 : x
  2. Step 2: Convert to fraction form
    125,899.50/195,231.75 = 195,231.75/x
  3. Step 3: Cross multiply
    125,899.50x = 195,231.75 × 195,231.75
  4. Step 4: Simplify right side
    125,899.50x = 38,115,436,208.06
  5. Step 5: Solve for x
    x = 38,115,436,208.06/125,899.50
  6. Step 6: Final answer
    x = 302,744.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.