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Finding the Third Proportional to 60,336 and 128,686

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Solution

The third proportional to 60,336 and 128,686 is: 274,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,336 : 128,686 = 128,686 : x
  2. Step 2: Convert to fraction form
    60,336/128,686 = 128,686/x
  3. Step 3: Cross multiply
    60,336x = 128,686 × 128,686
  4. Step 4: Simplify right side
    60,336x = 16,560,086,596
  5. Step 5: Solve for x
    x = 16,560,086,596/60,336
  6. Step 6: Final answer
    x = 274,464.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.