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Finding the Third Proportional to 75,223 and 162,202

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Solution

The third proportional to 75,223 and 162,202 is: 349,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,223 : 162,202 = 162,202 : x
  2. Step 2: Convert to fraction form
    75,223/162,202 = 162,202/x
  3. Step 3: Cross multiply
    75,223x = 162,202 × 162,202
  4. Step 4: Simplify right side
    75,223x = 26,309,488,804
  5. Step 5: Solve for x
    x = 26,309,488,804/75,223
  6. Step 6: Final answer
    x = 349,753.25

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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.