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Finding the Third Proportional to 106,950 and 149,524

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Solution

The third proportional to 106,950 and 149,524 is: 209,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950 : 149,524 = 149,524 : x
  2. Step 2: Convert to fraction form
    106,950/149,524 = 149,524/x
  3. Step 3: Cross multiply
    106,950x = 149,524 × 149,524
  4. Step 4: Simplify right side
    106,950x = 22,357,426,576
  5. Step 5: Solve for x
    x = 22,357,426,576/106,950
  6. Step 6: Final answer
    x = 209,045.60

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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.