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Finding the Third Proportional to 92,116 and 135,151

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Solution

The third proportional to 92,116 and 135,151 is: 198,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,116 : 135,151 = 135,151 : x
  2. Step 2: Convert to fraction form
    92,116/135,151 = 135,151/x
  3. Step 3: Cross multiply
    92,116x = 135,151 × 135,151
  4. Step 4: Simplify right side
    92,116x = 18,265,792,801
  5. Step 5: Solve for x
    x = 18,265,792,801/92,116
  6. Step 6: Final answer
    x = 198,291.21

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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.