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Finding the Third Proportional to 80,140 and 172,052

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Solution

The third proportional to 80,140 and 172,052 is: 369,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,140 : 172,052 = 172,052 : x
  2. Step 2: Convert to fraction form
    80,140/172,052 = 172,052/x
  3. Step 3: Cross multiply
    80,140x = 172,052 × 172,052
  4. Step 4: Simplify right side
    80,140x = 29,601,890,704
  5. Step 5: Solve for x
    x = 29,601,890,704/80,140
  6. Step 6: Final answer
    x = 369,377.22

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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.