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Finding the Third Proportional to 80,052 and 172,248

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Solution

The third proportional to 80,052 and 172,248 is: 370,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,052 : 172,248 = 172,248 : x
  2. Step 2: Convert to fraction form
    80,052/172,248 = 172,248/x
  3. Step 3: Cross multiply
    80,052x = 172,248 × 172,248
  4. Step 4: Simplify right side
    80,052x = 29,669,373,504
  5. Step 5: Solve for x
    x = 29,669,373,504/80,052
  6. Step 6: Final answer
    x = 370,626.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.