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Finding the Third Proportional to 75,305 and 112,967

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Solution

The third proportional to 75,305 and 112,967 is: 169,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305 : 112,967 = 112,967 : x
  2. Step 2: Convert to fraction form
    75,305/112,967 = 112,967/x
  3. Step 3: Cross multiply
    75,305x = 112,967 × 112,967
  4. Step 4: Simplify right side
    75,305x = 12,761,543,089
  5. Step 5: Solve for x
    x = 12,761,543,089/75,305
  6. Step 6: Final answer
    x = 169,464.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.