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Finding the Third Proportional to 48,820 and 106,592

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Solution

The third proportional to 48,820 and 106,592 is: 232,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 106,592 = 106,592 : x
  2. Step 2: Convert to fraction form
    48,820/106,592 = 106,592/x
  3. Step 3: Cross multiply
    48,820x = 106,592 × 106,592
  4. Step 4: Simplify right side
    48,820x = 11,361,854,464
  5. Step 5: Solve for x
    x = 11,361,854,464/48,820
  6. Step 6: Final answer
    x = 232,729.51

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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.