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Finding the Third Proportional to 92,154 and 135,288

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Solution

The third proportional to 92,154 and 135,288 is: 198,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,154 : 135,288 = 135,288 : x
  2. Step 2: Convert to fraction form
    92,154/135,288 = 135,288/x
  3. Step 3: Cross multiply
    92,154x = 135,288 × 135,288
  4. Step 4: Simplify right side
    92,154x = 18,302,842,944
  5. Step 5: Solve for x
    x = 18,302,842,944/92,154
  6. Step 6: Final answer
    x = 198,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.