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Finding the Third Proportional to 74,306 and 162,193

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Solution

The third proportional to 74,306 and 162,193 is: 354,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,306 : 162,193 = 162,193 : x
  2. Step 2: Convert to fraction form
    74,306/162,193 = 162,193/x
  3. Step 3: Cross multiply
    74,306x = 162,193 × 162,193
  4. Step 4: Simplify right side
    74,306x = 26,306,569,249
  5. Step 5: Solve for x
    x = 26,306,569,249/74,306
  6. Step 6: Final answer
    x = 354,030.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.