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Finding the Third Proportional to 75,888 and 109,305

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Solution

The third proportional to 75,888 and 109,305 is: 157,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,888 : 109,305 = 109,305 : x
  2. Step 2: Convert to fraction form
    75,888/109,305 = 109,305/x
  3. Step 3: Cross multiply
    75,888x = 109,305 × 109,305
  4. Step 4: Simplify right side
    75,888x = 11,947,583,025
  5. Step 5: Solve for x
    x = 11,947,583,025/75,888
  6. Step 6: Final answer
    x = 157,437.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.