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Finding the Third Proportional to 59,642 and 106,324

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Solution

The third proportional to 59,642 and 106,324 is: 189,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,642 : 106,324 = 106,324 : x
  2. Step 2: Convert to fraction form
    59,642/106,324 = 106,324/x
  3. Step 3: Cross multiply
    59,642x = 106,324 × 106,324
  4. Step 4: Simplify right side
    59,642x = 11,304,792,976
  5. Step 5: Solve for x
    x = 11,304,792,976/59,642
  6. Step 6: Final answer
    x = 189,544.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.