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Finding the Third Proportional to 100,335 and 133,826

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Solution

The third proportional to 100,335 and 133,826 is: 178,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,335 : 133,826 = 133,826 : x
  2. Step 2: Convert to fraction form
    100,335/133,826 = 133,826/x
  3. Step 3: Cross multiply
    100,335x = 133,826 × 133,826
  4. Step 4: Simplify right side
    100,335x = 17,909,398,276
  5. Step 5: Solve for x
    x = 17,909,398,276/100,335
  6. Step 6: Final answer
    x = 178,496.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.