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Finding the Third Proportional to 101,774 and 149,015

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Solution

The third proportional to 101,774 and 149,015 is: 218,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,774 : 149,015 = 149,015 : x
  2. Step 2: Convert to fraction form
    101,774/149,015 = 149,015/x
  3. Step 3: Cross multiply
    101,774x = 149,015 × 149,015
  4. Step 4: Simplify right side
    101,774x = 22,205,470,225
  5. Step 5: Solve for x
    x = 22,205,470,225/101,774
  6. Step 6: Final answer
    x = 218,184.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.