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Finding the Third Proportional to 106,014 and 148,593

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Solution

The third proportional to 106,014 and 148,593 is: 208,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,014 : 148,593 = 148,593 : x
  2. Step 2: Convert to fraction form
    106,014/148,593 = 148,593/x
  3. Step 3: Cross multiply
    106,014x = 148,593 × 148,593
  4. Step 4: Simplify right side
    106,014x = 22,079,879,649
  5. Step 5: Solve for x
    x = 22,079,879,649/106,014
  6. Step 6: Final answer
    x = 208,273.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.