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Finding the Third Proportional to 67,008 and 103,824

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Solution

The third proportional to 67,008 and 103,824 is: 160,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,008 : 103,824 = 103,824 : x
  2. Step 2: Convert to fraction form
    67,008/103,824 = 103,824/x
  3. Step 3: Cross multiply
    67,008x = 103,824 × 103,824
  4. Step 4: Simplify right side
    67,008x = 10,779,422,976
  5. Step 5: Solve for x
    x = 10,779,422,976/67,008
  6. Step 6: Final answer
    x = 160,867.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.