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Finding the Third Proportional to 106,389 and 157,529

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Solution

The third proportional to 106,389 and 157,529 is: 233,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,389 : 157,529 = 157,529 : x
  2. Step 2: Convert to fraction form
    106,389/157,529 = 157,529/x
  3. Step 3: Cross multiply
    106,389x = 157,529 × 157,529
  4. Step 4: Simplify right side
    106,389x = 24,815,385,841
  5. Step 5: Solve for x
    x = 24,815,385,841/106,389
  6. Step 6: Final answer
    x = 233,251.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.