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Finding the Third Proportional to 61,919.44 and 135,935.72

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Solution

The third proportional to 61,919.44 and 135,935.72 is: 298,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,919.44 : 135,935.72 = 135,935.72 : x
  2. Step 2: Convert to fraction form
    61,919.44/135,935.72 = 135,935.72/x
  3. Step 3: Cross multiply
    61,919.44x = 135,935.72 × 135,935.72
  4. Step 4: Simplify right side
    61,919.44x = 18,478,519,632.08
  5. Step 5: Solve for x
    x = 18,478,519,632.08/61,919.44
  6. Step 6: Final answer
    x = 298,428.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.