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Finding the Third Proportional to 60,336 and 135,504

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Solution

The third proportional to 60,336 and 135,504 is: 304,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,336 : 135,504 = 135,504 : x
  2. Step 2: Convert to fraction form
    60,336/135,504 = 135,504/x
  3. Step 3: Cross multiply
    60,336x = 135,504 × 135,504
  4. Step 4: Simplify right side
    60,336x = 18,361,334,016
  5. Step 5: Solve for x
    x = 18,361,334,016/60,336
  6. Step 6: Final answer
    x = 304,318.05

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.