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Finding the Third Proportional to 73,868 and 162,502

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Solution

The third proportional to 73,868 and 162,502 is: 357,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,868 : 162,502 = 162,502 : x
  2. Step 2: Convert to fraction form
    73,868/162,502 = 162,502/x
  3. Step 3: Cross multiply
    73,868x = 162,502 × 162,502
  4. Step 4: Simplify right side
    73,868x = 26,406,900,004
  5. Step 5: Solve for x
    x = 26,406,900,004/73,868
  6. Step 6: Final answer
    x = 357,487.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.