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Finding the Third Proportional to 105,660 and 154,494

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Solution

The third proportional to 105,660 and 154,494 is: 225,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660 : 154,494 = 154,494 : x
  2. Step 2: Convert to fraction form
    105,660/154,494 = 154,494/x
  3. Step 3: Cross multiply
    105,660x = 154,494 × 154,494
  4. Step 4: Simplify right side
    105,660x = 23,868,396,036
  5. Step 5: Solve for x
    x = 23,868,396,036/105,660
  6. Step 6: Final answer
    x = 225,898.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.