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Finding the Third Proportional to 75,161 and 110,500

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Solution

The third proportional to 75,161 and 110,500 is: 162,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161 : 110,500 = 110,500 : x
  2. Step 2: Convert to fraction form
    75,161/110,500 = 110,500/x
  3. Step 3: Cross multiply
    75,161x = 110,500 × 110,500
  4. Step 4: Simplify right side
    75,161x = 12,210,250,000
  5. Step 5: Solve for x
    x = 12,210,250,000/75,161
  6. Step 6: Final answer
    x = 162,454.60

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