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Finding the Third Proportional to 69,395.75 and 149,115.75

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Solution

The third proportional to 69,395.75 and 149,115.75 is: 320,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,395.75 : 149,115.75 = 149,115.75 : x
  2. Step 2: Convert to fraction form
    69,395.75/149,115.75 = 149,115.75/x
  3. Step 3: Cross multiply
    69,395.75x = 149,115.75 × 149,115.75
  4. Step 4: Simplify right side
    69,395.75x = 22,235,506,898.06
  5. Step 5: Solve for x
    x = 22,235,506,898.06/69,395.75
  6. Step 6: Final answer
    x = 320,415.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.