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Finding the Third Proportional to 78,073 and 116,895

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Solution

The third proportional to 78,073 and 116,895 is: 175,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073 : 116,895 = 116,895 : x
  2. Step 2: Convert to fraction form
    78,073/116,895 = 116,895/x
  3. Step 3: Cross multiply
    78,073x = 116,895 × 116,895
  4. Step 4: Simplify right side
    78,073x = 13,664,441,025
  5. Step 5: Solve for x
    x = 13,664,441,025/78,073
  6. Step 6: Final answer
    x = 175,021.34

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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.