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Finding the Third Proportional to 75,904 and 114,100

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Solution

The third proportional to 75,904 and 114,100 is: 171,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904 : 114,100 = 114,100 : x
  2. Step 2: Convert to fraction form
    75,904/114,100 = 114,100/x
  3. Step 3: Cross multiply
    75,904x = 114,100 × 114,100
  4. Step 4: Simplify right side
    75,904x = 13,018,810,000
  5. Step 5: Solve for x
    x = 13,018,810,000/75,904
  6. Step 6: Final answer
    x = 171,516.78

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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.