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Finding the Third Proportional to 103,821.75 and 133,832.25

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Solution

The third proportional to 103,821.75 and 133,832.25 is: 172,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,821.75 : 133,832.25 = 133,832.25 : x
  2. Step 2: Convert to fraction form
    103,821.75/133,832.25 = 133,832.25/x
  3. Step 3: Cross multiply
    103,821.75x = 133,832.25 × 133,832.25
  4. Step 4: Simplify right side
    103,821.75x = 17,911,071,140.06
  5. Step 5: Solve for x
    x = 17,911,071,140.06/103,821.75
  6. Step 6: Final answer
    x = 172,517.52

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.