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Finding the Third Proportional to 61,908.05 and 135,683.23

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Solution

The third proportional to 61,908.05 and 135,683.23 is: 297,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,908.05 : 135,683.23 = 135,683.23 : x
  2. Step 2: Convert to fraction form
    61,908.05/135,683.23 = 135,683.23/x
  3. Step 3: Cross multiply
    61,908.05x = 135,683.23 × 135,683.23
  4. Step 4: Simplify right side
    61,908.05x = 18,409,937,970.41
  5. Step 5: Solve for x
    x = 18,409,937,970.41/61,908.05
  6. Step 6: Final answer
    x = 297,375.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.