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Finding the Third Proportional to 100,335 and 133,824

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Solution

The third proportional to 100,335 and 133,824 is: 178,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,335 : 133,824 = 133,824 : x
  2. Step 2: Convert to fraction form
    100,335/133,824 = 133,824/x
  3. Step 3: Cross multiply
    100,335x = 133,824 × 133,824
  4. Step 4: Simplify right side
    100,335x = 17,908,862,976
  5. Step 5: Solve for x
    x = 17,908,862,976/100,335
  6. Step 6: Final answer
    x = 178,490.69

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Why These Related Problems?

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