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Finding the Third Proportional to 75,230 and 162,212

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Solution

The third proportional to 75,230 and 162,212 is: 349,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,230 : 162,212 = 162,212 : x
  2. Step 2: Convert to fraction form
    75,230/162,212 = 162,212/x
  3. Step 3: Cross multiply
    75,230x = 162,212 × 162,212
  4. Step 4: Simplify right side
    75,230x = 26,312,732,944
  5. Step 5: Solve for x
    x = 26,312,732,944/75,230
  6. Step 6: Final answer
    x = 349,763.83

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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.