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Finding the Third Proportional to 92,871 and 135,414

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Solution

The third proportional to 92,871 and 135,414 is: 197,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,871 : 135,414 = 135,414 : x
  2. Step 2: Convert to fraction form
    92,871/135,414 = 135,414/x
  3. Step 3: Cross multiply
    92,871x = 135,414 × 135,414
  4. Step 4: Simplify right side
    92,871x = 18,336,951,396
  5. Step 5: Solve for x
    x = 18,336,951,396/92,871
  6. Step 6: Final answer
    x = 197,445.40

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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.