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Finding the Third Proportional to 48,498 and 108,336

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Solution

The third proportional to 48,498 and 108,336 is: 242,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498 : 108,336 = 108,336 : x
  2. Step 2: Convert to fraction form
    48,498/108,336 = 108,336/x
  3. Step 3: Cross multiply
    48,498x = 108,336 × 108,336
  4. Step 4: Simplify right side
    48,498x = 11,736,688,896
  5. Step 5: Solve for x
    x = 11,736,688,896/48,498
  6. Step 6: Final answer
    x = 242,003.57

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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.