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Finding the Third Proportional to 92,168 and 133,230

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Solution

The third proportional to 92,168 and 133,230 is: 192,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,168 : 133,230 = 133,230 : x
  2. Step 2: Convert to fraction form
    92,168/133,230 = 133,230/x
  3. Step 3: Cross multiply
    92,168x = 133,230 × 133,230
  4. Step 4: Simplify right side
    92,168x = 17,750,232,900
  5. Step 5: Solve for x
    x = 17,750,232,900/92,168
  6. Step 6: Final answer
    x = 192,585.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.