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Finding the Third Proportional to 75,226 and 162,206

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Solution

The third proportional to 75,226 and 162,206 is: 349,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,226 : 162,206 = 162,206 : x
  2. Step 2: Convert to fraction form
    75,226/162,206 = 162,206/x
  3. Step 3: Cross multiply
    75,226x = 162,206 × 162,206
  4. Step 4: Simplify right side
    75,226x = 26,310,786,436
  5. Step 5: Solve for x
    x = 26,310,786,436/75,226
  6. Step 6: Final answer
    x = 349,756.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.