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Finding the Third Proportional to 48,502 and 108,344

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Solution

The third proportional to 48,502 and 108,344 is: 242,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502 : 108,344 = 108,344 : x
  2. Step 2: Convert to fraction form
    48,502/108,344 = 108,344/x
  3. Step 3: Cross multiply
    48,502x = 108,344 × 108,344
  4. Step 4: Simplify right side
    48,502x = 11,738,422,336
  5. Step 5: Solve for x
    x = 11,738,422,336/48,502
  6. Step 6: Final answer
    x = 242,019.35

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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.