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Finding the Third Proportional to 131,728.50 and 195,306.75

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Solution

The third proportional to 131,728.50 and 195,306.75 is: 289,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,728.50 : 195,306.75 = 195,306.75 : x
  2. Step 2: Convert to fraction form
    131,728.50/195,306.75 = 195,306.75/x
  3. Step 3: Cross multiply
    131,728.50x = 195,306.75 × 195,306.75
  4. Step 4: Simplify right side
    131,728.50x = 38,144,726,595.56
  5. Step 5: Solve for x
    x = 38,144,726,595.56/131,728.50
  6. Step 6: Final answer
    x = 289,570.80

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.