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Finding the Third Proportional to 31,264.69 and 68,458.69

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Solution

The third proportional to 31,264.69 and 68,458.69 is: 149,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264.69 : 68,458.69 = 68,458.69 : x
  2. Step 2: Convert to fraction form
    31,264.69/68,458.69 = 68,458.69/x
  3. Step 3: Cross multiply
    31,264.69x = 68,458.69 × 68,458.69
  4. Step 4: Simplify right side
    31,264.69x = 4,686,591,894.22
  5. Step 5: Solve for x
    x = 4,686,591,894.22/31,264.69
  6. Step 6: Final answer
    x = 149,900.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.