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Finding the Third Proportional to 60,285 and 84,918

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Solution

The third proportional to 60,285 and 84,918 is: 119,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,285 : 84,918 = 84,918 : x
  2. Step 2: Convert to fraction form
    60,285/84,918 = 84,918/x
  3. Step 3: Cross multiply
    60,285x = 84,918 × 84,918
  4. Step 4: Simplify right side
    60,285x = 7,211,066,724
  5. Step 5: Solve for x
    x = 7,211,066,724/60,285
  6. Step 6: Final answer
    x = 119,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.