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Finding the Third Proportional to 31,235 and 66,093

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Solution

The third proportional to 31,235 and 66,093 is: 139,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235 : 66,093 = 66,093 : x
  2. Step 2: Convert to fraction form
    31,235/66,093 = 66,093/x
  3. Step 3: Cross multiply
    31,235x = 66,093 × 66,093
  4. Step 4: Simplify right side
    31,235x = 4,368,284,649
  5. Step 5: Solve for x
    x = 4,368,284,649/31,235
  6. Step 6: Final answer
    x = 139,852.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.