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Finding the Third Proportional to 31,360 and 67,619

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Solution

The third proportional to 31,360 and 67,619 is: 145,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,360 : 67,619 = 67,619 : x
  2. Step 2: Convert to fraction form
    31,360/67,619 = 67,619/x
  3. Step 3: Cross multiply
    31,360x = 67,619 × 67,619
  4. Step 4: Simplify right side
    31,360x = 4,572,329,161
  5. Step 5: Solve for x
    x = 4,572,329,161/31,360
  6. Step 6: Final answer
    x = 145,801.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.