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Finding the Third Proportional to 59,812 and 125,824

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Solution

The third proportional to 59,812 and 125,824 is: 264,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,812 : 125,824 = 125,824 : x
  2. Step 2: Convert to fraction form
    59,812/125,824 = 125,824/x
  3. Step 3: Cross multiply
    59,812x = 125,824 × 125,824
  4. Step 4: Simplify right side
    59,812x = 15,831,678,976
  5. Step 5: Solve for x
    x = 15,831,678,976/59,812
  6. Step 6: Final answer
    x = 264,690.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.