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Finding the Third Proportional to 73,892 and 111,614

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Solution

The third proportional to 73,892 and 111,614 is: 168,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892 : 111,614 = 111,614 : x
  2. Step 2: Convert to fraction form
    73,892/111,614 = 111,614/x
  3. Step 3: Cross multiply
    73,892x = 111,614 × 111,614
  4. Step 4: Simplify right side
    73,892x = 12,457,684,996
  5. Step 5: Solve for x
    x = 12,457,684,996/73,892
  6. Step 6: Final answer
    x = 168,593.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.