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Finding the Third Proportional to 48,728 and 106,569

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Solution

The third proportional to 48,728 and 106,569 is: 233,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,728 : 106,569 = 106,569 : x
  2. Step 2: Convert to fraction form
    48,728/106,569 = 106,569/x
  3. Step 3: Cross multiply
    48,728x = 106,569 × 106,569
  4. Step 4: Simplify right side
    48,728x = 11,356,951,761
  5. Step 5: Solve for x
    x = 11,356,951,761/48,728
  6. Step 6: Final answer
    x = 233,068.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.