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Finding the Third Proportional to 60,921.75 and 135,851.44

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Solution

The third proportional to 60,921.75 and 135,851.44 is: 302,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,921.75 : 135,851.44 = 135,851.44 : x
  2. Step 2: Convert to fraction form
    60,921.75/135,851.44 = 135,851.44/x
  3. Step 3: Cross multiply
    60,921.75x = 135,851.44 × 135,851.44
  4. Step 4: Simplify right side
    60,921.75x = 18,455,613,070.82
  5. Step 5: Solve for x
    x = 18,455,613,070.82/60,921.75
  6. Step 6: Final answer
    x = 302,939.64

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.