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Finding the Third Proportional to 59,427 and 111,462

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Solution

The third proportional to 59,427 and 111,462 is: 209,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427 : 111,462 = 111,462 : x
  2. Step 2: Convert to fraction form
    59,427/111,462 = 111,462/x
  3. Step 3: Cross multiply
    59,427x = 111,462 × 111,462
  4. Step 4: Simplify right side
    59,427x = 12,423,777,444
  5. Step 5: Solve for x
    x = 12,423,777,444/59,427
  6. Step 6: Final answer
    x = 209,059.48

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.