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Finding the Third Proportional to 48,826 and 106,309

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Solution

The third proportional to 48,826 and 106,309 is: 231,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,826 : 106,309 = 106,309 : x
  2. Step 2: Convert to fraction form
    48,826/106,309 = 106,309/x
  3. Step 3: Cross multiply
    48,826x = 106,309 × 106,309
  4. Step 4: Simplify right side
    48,826x = 11,301,603,481
  5. Step 5: Solve for x
    x = 11,301,603,481/48,826
  6. Step 6: Final answer
    x = 231,466.91

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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.