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Finding the Third Proportional to 80,152 and 172,372

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Solution

The third proportional to 80,152 and 172,372 is: 370,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,152 : 172,372 = 172,372 : x
  2. Step 2: Convert to fraction form
    80,152/172,372 = 172,372/x
  3. Step 3: Cross multiply
    80,152x = 172,372 × 172,372
  4. Step 4: Simplify right side
    80,152x = 29,712,106,384
  5. Step 5: Solve for x
    x = 29,712,106,384/80,152
  6. Step 6: Final answer
    x = 370,697.01

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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.