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Finding the Third Proportional to 31,090 and 66,616

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Solution

The third proportional to 31,090 and 66,616 is: 142,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090 : 66,616 = 66,616 : x
  2. Step 2: Convert to fraction form
    31,090/66,616 = 66,616/x
  3. Step 3: Cross multiply
    31,090x = 66,616 × 66,616
  4. Step 4: Simplify right side
    31,090x = 4,437,691,456
  5. Step 5: Solve for x
    x = 4,437,691,456/31,090
  6. Step 6: Final answer
    x = 142,736.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.