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Finding the Third Proportional to 75,127 and 116,268

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Solution

The third proportional to 75,127 and 116,268 is: 179,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127 : 116,268 = 116,268 : x
  2. Step 2: Convert to fraction form
    75,127/116,268 = 116,268/x
  3. Step 3: Cross multiply
    75,127x = 116,268 × 116,268
  4. Step 4: Simplify right side
    75,127x = 13,518,247,824
  5. Step 5: Solve for x
    x = 13,518,247,824/75,127
  6. Step 6: Final answer
    x = 179,938.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.