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Finding the Third Proportional to 62,226 and 93,847

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Solution

The third proportional to 62,226 and 93,847 is: 141,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,226 : 93,847 = 93,847 : x
  2. Step 2: Convert to fraction form
    62,226/93,847 = 93,847/x
  3. Step 3: Cross multiply
    62,226x = 93,847 × 93,847
  4. Step 4: Simplify right side
    62,226x = 8,807,259,409
  5. Step 5: Solve for x
    x = 8,807,259,409/62,226
  6. Step 6: Final answer
    x = 141,536.65

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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.