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Finding the Third Proportional to 35,318 and 74,269

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Solution

The third proportional to 35,318 and 74,269 is: 156,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,318 : 74,269 = 74,269 : x
  2. Step 2: Convert to fraction form
    35,318/74,269 = 74,269/x
  3. Step 3: Cross multiply
    35,318x = 74,269 × 74,269
  4. Step 4: Simplify right side
    35,318x = 5,515,884,361
  5. Step 5: Solve for x
    x = 5,515,884,361/35,318
  6. Step 6: Final answer
    x = 156,177.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.