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Finding the Third Proportional to 92,972 and 140,334

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Solution

The third proportional to 92,972 and 140,334 is: 211,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,972 : 140,334 = 140,334 : x
  2. Step 2: Convert to fraction form
    92,972/140,334 = 140,334/x
  3. Step 3: Cross multiply
    92,972x = 140,334 × 140,334
  4. Step 4: Simplify right side
    92,972x = 19,693,631,556
  5. Step 5: Solve for x
    x = 19,693,631,556/92,972
  6. Step 6: Final answer
    x = 211,823.25

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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.