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Finding the Third Proportional to 101,762 and 149,593

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Solution

The third proportional to 101,762 and 149,593 is: 219,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762 : 149,593 = 149,593 : x
  2. Step 2: Convert to fraction form
    101,762/149,593 = 149,593/x
  3. Step 3: Cross multiply
    101,762x = 149,593 × 149,593
  4. Step 4: Simplify right side
    101,762x = 22,378,065,649
  5. Step 5: Solve for x
    x = 22,378,065,649/101,762
  6. Step 6: Final answer
    x = 219,905.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.