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Finding the Third Proportional to 71,818 and 155,108

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Solution

The third proportional to 71,818 and 155,108 is: 334,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818 : 155,108 = 155,108 : x
  2. Step 2: Convert to fraction form
    71,818/155,108 = 155,108/x
  3. Step 3: Cross multiply
    71,818x = 155,108 × 155,108
  4. Step 4: Simplify right side
    71,818x = 24,058,491,664
  5. Step 5: Solve for x
    x = 24,058,491,664/71,818
  6. Step 6: Final answer
    x = 334,992.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.