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Finding the Third Proportional to 92,538 and 135,351

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Solution

The third proportional to 92,538 and 135,351 is: 197,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,538 : 135,351 = 135,351 : x
  2. Step 2: Convert to fraction form
    92,538/135,351 = 135,351/x
  3. Step 3: Cross multiply
    92,538x = 135,351 × 135,351
  4. Step 4: Simplify right side
    92,538x = 18,319,893,201
  5. Step 5: Solve for x
    x = 18,319,893,201/92,538
  6. Step 6: Final answer
    x = 197,971.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.