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Finding the Third Proportional to 92,972 and 140,331

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Solution

The third proportional to 92,972 and 140,331 is: 211,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,972 : 140,331 = 140,331 : x
  2. Step 2: Convert to fraction form
    92,972/140,331 = 140,331/x
  3. Step 3: Cross multiply
    92,972x = 140,331 × 140,331
  4. Step 4: Simplify right side
    92,972x = 19,692,789,561
  5. Step 5: Solve for x
    x = 19,692,789,561/92,972
  6. Step 6: Final answer
    x = 211,814.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.