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Finding the Third Proportional to 73,062 and 109,593

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Solution

The third proportional to 73,062 and 109,593 is: 164,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,062 : 109,593 = 109,593 : x
  2. Step 2: Convert to fraction form
    73,062/109,593 = 109,593/x
  3. Step 3: Cross multiply
    73,062x = 109,593 × 109,593
  4. Step 4: Simplify right side
    73,062x = 12,010,625,649
  5. Step 5: Solve for x
    x = 12,010,625,649/73,062
  6. Step 6: Final answer
    x = 164,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.