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Finding the Third Proportional to 48,826 and 108,772

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Solution

The third proportional to 48,826 and 108,772 is: 242,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,826 : 108,772 = 108,772 : x
  2. Step 2: Convert to fraction form
    48,826/108,772 = 108,772/x
  3. Step 3: Cross multiply
    48,826x = 108,772 × 108,772
  4. Step 4: Simplify right side
    48,826x = 11,831,347,984
  5. Step 5: Solve for x
    x = 11,831,347,984/48,826
  6. Step 6: Final answer
    x = 242,316.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.