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Finding the Third Proportional to 56,279 and 132,850

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Solution

The third proportional to 56,279 and 132,850 is: 313,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,279 : 132,850 = 132,850 : x
  2. Step 2: Convert to fraction form
    56,279/132,850 = 132,850/x
  3. Step 3: Cross multiply
    56,279x = 132,850 × 132,850
  4. Step 4: Simplify right side
    56,279x = 17,649,122,500
  5. Step 5: Solve for x
    x = 17,649,122,500/56,279
  6. Step 6: Final answer
    x = 313,600.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.