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Finding the Third Proportional to 92,960 and 142,230

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Solution

The third proportional to 92,960 and 142,230 is: 217,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,960 : 142,230 = 142,230 : x
  2. Step 2: Convert to fraction form
    92,960/142,230 = 142,230/x
  3. Step 3: Cross multiply
    92,960x = 142,230 × 142,230
  4. Step 4: Simplify right side
    92,960x = 20,229,372,900
  5. Step 5: Solve for x
    x = 20,229,372,900/92,960
  6. Step 6: Final answer
    x = 217,613.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.