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Finding the Third Proportional to 55,062 and 76,617

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Solution

The third proportional to 55,062 and 76,617 is: 106,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,062 : 76,617 = 76,617 : x
  2. Step 2: Convert to fraction form
    55,062/76,617 = 76,617/x
  3. Step 3: Cross multiply
    55,062x = 76,617 × 76,617
  4. Step 4: Simplify right side
    55,062x = 5,870,164,689
  5. Step 5: Solve for x
    x = 5,870,164,689/55,062
  6. Step 6: Final answer
    x = 106,610.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.