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Finding the Third Proportional to 109,808 and 149,124

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Solution

The third proportional to 109,808 and 149,124 is: 202,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808 : 149,124 = 149,124 : x
  2. Step 2: Convert to fraction form
    109,808/149,124 = 149,124/x
  3. Step 3: Cross multiply
    109,808x = 149,124 × 149,124
  4. Step 4: Simplify right side
    109,808x = 22,237,967,376
  5. Step 5: Solve for x
    x = 22,237,967,376/109,808
  6. Step 6: Final answer
    x = 202,516.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.