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Finding the Third Proportional to 134,589.50 and 196,041.50

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Solution

The third proportional to 134,589.50 and 196,041.50 is: 285,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,589.50 : 196,041.50 = 196,041.50 : x
  2. Step 2: Convert to fraction form
    134,589.50/196,041.50 = 196,041.50/x
  3. Step 3: Cross multiply
    134,589.50x = 196,041.50 × 196,041.50
  4. Step 4: Simplify right side
    134,589.50x = 38,432,269,722.25
  5. Step 5: Solve for x
    x = 38,432,269,722.25/134,589.50
  6. Step 6: Final answer
    x = 285,551.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.