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Finding the Third Proportional to 74,192 and 175,025

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Solution

The third proportional to 74,192 and 175,025 is: 412,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192 : 175,025 = 175,025 : x
  2. Step 2: Convert to fraction form
    74,192/175,025 = 175,025/x
  3. Step 3: Cross multiply
    74,192x = 175,025 × 175,025
  4. Step 4: Simplify right side
    74,192x = 30,633,750,625
  5. Step 5: Solve for x
    x = 30,633,750,625/74,192
  6. Step 6: Final answer
    x = 412,898.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.