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Finding the Third Proportional to 31,158 and 69,726

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Solution

The third proportional to 31,158 and 69,726 is: 156,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158 : 69,726 = 69,726 : x
  2. Step 2: Convert to fraction form
    31,158/69,726 = 69,726/x
  3. Step 3: Cross multiply
    31,158x = 69,726 × 69,726
  4. Step 4: Simplify right side
    31,158x = 4,861,715,076
  5. Step 5: Solve for x
    x = 4,861,715,076/31,158
  6. Step 6: Final answer
    x = 156,034.25

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.