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Finding the Third Proportional to 80,136 and 113,904

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Solution

The third proportional to 80,136 and 113,904 is: 161,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,136 : 113,904 = 113,904 : x
  2. Step 2: Convert to fraction form
    80,136/113,904 = 113,904/x
  3. Step 3: Cross multiply
    80,136x = 113,904 × 113,904
  4. Step 4: Simplify right side
    80,136x = 12,974,121,216
  5. Step 5: Solve for x
    x = 12,974,121,216/80,136
  6. Step 6: Final answer
    x = 161,901.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.