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Finding the Third Proportional to 92,142 and 135,270

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Solution

The third proportional to 92,142 and 135,270 is: 198,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142 : 135,270 = 135,270 : x
  2. Step 2: Convert to fraction form
    92,142/135,270 = 135,270/x
  3. Step 3: Cross multiply
    92,142x = 135,270 × 135,270
  4. Step 4: Simplify right side
    92,142x = 18,297,972,900
  5. Step 5: Solve for x
    x = 18,297,972,900/92,142
  6. Step 6: Final answer
    x = 198,584.50

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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.