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Finding the Third Proportional to 80,088 and 166,492

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Solution

The third proportional to 80,088 and 166,492 is: 346,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,088 : 166,492 = 166,492 : x
  2. Step 2: Convert to fraction form
    80,088/166,492 = 166,492/x
  3. Step 3: Cross multiply
    80,088x = 166,492 × 166,492
  4. Step 4: Simplify right side
    80,088x = 27,719,586,064
  5. Step 5: Solve for x
    x = 27,719,586,064/80,088
  6. Step 6: Final answer
    x = 346,114.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.