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Finding the Third Proportional to 74,107 and 162,269

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Solution

The third proportional to 74,107 and 162,269 is: 355,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,107 : 162,269 = 162,269 : x
  2. Step 2: Convert to fraction form
    74,107/162,269 = 162,269/x
  3. Step 3: Cross multiply
    74,107x = 162,269 × 162,269
  4. Step 4: Simplify right side
    74,107x = 26,331,228,361
  5. Step 5: Solve for x
    x = 26,331,228,361/74,107
  6. Step 6: Final answer
    x = 355,313.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.