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Finding the Third Proportional to 48,295 and 76,847

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Solution

The third proportional to 48,295 and 76,847 is: 122,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,295 : 76,847 = 76,847 : x
  2. Step 2: Convert to fraction form
    48,295/76,847 = 76,847/x
  3. Step 3: Cross multiply
    48,295x = 76,847 × 76,847
  4. Step 4: Simplify right side
    48,295x = 5,905,461,409
  5. Step 5: Solve for x
    x = 5,905,461,409/48,295
  6. Step 6: Final answer
    x = 122,278.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.