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Finding the Third Proportional to 45,161 and 106,617

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Solution

The third proportional to 45,161 and 106,617 is: 251,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,161 : 106,617 = 106,617 : x
  2. Step 2: Convert to fraction form
    45,161/106,617 = 106,617/x
  3. Step 3: Cross multiply
    45,161x = 106,617 × 106,617
  4. Step 4: Simplify right side
    45,161x = 11,367,184,689
  5. Step 5: Solve for x
    x = 11,367,184,689/45,161
  6. Step 6: Final answer
    x = 251,703.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.