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Finding the Third Proportional to 92,164 and 140,982

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Solution

The third proportional to 92,164 and 140,982 is: 215,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,164 : 140,982 = 140,982 : x
  2. Step 2: Convert to fraction form
    92,164/140,982 = 140,982/x
  3. Step 3: Cross multiply
    92,164x = 140,982 × 140,982
  4. Step 4: Simplify right side
    92,164x = 19,875,924,324
  5. Step 5: Solve for x
    x = 19,875,924,324/92,164
  6. Step 6: Final answer
    x = 215,658.22

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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.