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Finding the Third Proportional to 106,781 and 154,663

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Solution

The third proportional to 106,781 and 154,663 is: 224,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,781 : 154,663 = 154,663 : x
  2. Step 2: Convert to fraction form
    106,781/154,663 = 154,663/x
  3. Step 3: Cross multiply
    106,781x = 154,663 × 154,663
  4. Step 4: Simplify right side
    106,781x = 23,920,643,569
  5. Step 5: Solve for x
    x = 23,920,643,569/106,781
  6. Step 6: Final answer
    x = 224,015.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.