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Finding the Third Proportional to 75,333.75 and 110,540.25

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Solution

The third proportional to 75,333.75 and 110,540.25 is: 162,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333.75 : 110,540.25 = 110,540.25 : x
  2. Step 2: Convert to fraction form
    75,333.75/110,540.25 = 110,540.25/x
  3. Step 3: Cross multiply
    75,333.75x = 110,540.25 × 110,540.25
  4. Step 4: Simplify right side
    75,333.75x = 12,219,146,870.06
  5. Step 5: Solve for x
    x = 12,219,146,870.06/75,333.75
  6. Step 6: Final answer
    x = 162,200.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.