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Finding the Third Proportional to 75,538 and 164,558

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Solution

The third proportional to 75,538 and 164,558 is: 358,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,538 : 164,558 = 164,558 : x
  2. Step 2: Convert to fraction form
    75,538/164,558 = 164,558/x
  3. Step 3: Cross multiply
    75,538x = 164,558 × 164,558
  4. Step 4: Simplify right side
    75,538x = 27,079,335,364
  5. Step 5: Solve for x
    x = 27,079,335,364/75,538
  6. Step 6: Final answer
    x = 358,486.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.