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Finding the Third Proportional to 48,792 and 106,509

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Solution

The third proportional to 48,792 and 106,509 is: 232,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,792 : 106,509 = 106,509 : x
  2. Step 2: Convert to fraction form
    48,792/106,509 = 106,509/x
  3. Step 3: Cross multiply
    48,792x = 106,509 × 106,509
  4. Step 4: Simplify right side
    48,792x = 11,344,167,081
  5. Step 5: Solve for x
    x = 11,344,167,081/48,792
  6. Step 6: Final answer
    x = 232,500.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.