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Finding the Third Proportional to 106,919 and 149,478

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Solution

The third proportional to 106,919 and 149,478 is: 208,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,919 : 149,478 = 149,478 : x
  2. Step 2: Convert to fraction form
    106,919/149,478 = 149,478/x
  3. Step 3: Cross multiply
    106,919x = 149,478 × 149,478
  4. Step 4: Simplify right side
    106,919x = 22,343,672,484
  5. Step 5: Solve for x
    x = 22,343,672,484/106,919
  6. Step 6: Final answer
    x = 208,977.57

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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.