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Finding the Third Proportional to 92,920 and 140,250

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Solution

The third proportional to 92,920 and 140,250 is: 211,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,920 : 140,250 = 140,250 : x
  2. Step 2: Convert to fraction form
    92,920/140,250 = 140,250/x
  3. Step 3: Cross multiply
    92,920x = 140,250 × 140,250
  4. Step 4: Simplify right side
    92,920x = 19,670,062,500
  5. Step 5: Solve for x
    x = 19,670,062,500/92,920
  6. Step 6: Final answer
    x = 211,688.15

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