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Finding the Third Proportional to 75,889 and 114,078

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Solution

The third proportional to 75,889 and 114,078 is: 171,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889 : 114,078 = 114,078 : x
  2. Step 2: Convert to fraction form
    75,889/114,078 = 114,078/x
  3. Step 3: Cross multiply
    75,889x = 114,078 × 114,078
  4. Step 4: Simplify right side
    75,889x = 13,013,790,084
  5. Step 5: Solve for x
    x = 13,013,790,084/75,889
  6. Step 6: Final answer
    x = 171,484.54

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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.