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Finding the Third Proportional to 31,155 and 67,062

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Solution

The third proportional to 31,155 and 67,062 is: 144,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155 : 67,062 = 67,062 : x
  2. Step 2: Convert to fraction form
    31,155/67,062 = 67,062/x
  3. Step 3: Cross multiply
    31,155x = 67,062 × 67,062
  4. Step 4: Simplify right side
    31,155x = 4,497,311,844
  5. Step 5: Solve for x
    x = 4,497,311,844/31,155
  6. Step 6: Final answer
    x = 144,352.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.