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Finding the Third Proportional to 64,074.38 and 149,706.56

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Solution

The third proportional to 64,074.38 and 149,706.56 is: 349,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,074.38 : 149,706.56 = 149,706.56 : x
  2. Step 2: Convert to fraction form
    64,074.38/149,706.56 = 149,706.56/x
  3. Step 3: Cross multiply
    64,074.38x = 149,706.56 × 149,706.56
  4. Step 4: Simplify right side
    64,074.38x = 22,412,054,855.57
  5. Step 5: Solve for x
    x = 22,412,054,855.57/64,074.38
  6. Step 6: Final answer
    x = 349,781.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.