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Finding the Third Proportional to 31,086 and 66,546

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Solution

The third proportional to 31,086 and 66,546 is: 142,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086 : 66,546 = 66,546 : x
  2. Step 2: Convert to fraction form
    31,086/66,546 = 66,546/x
  3. Step 3: Cross multiply
    31,086x = 66,546 × 66,546
  4. Step 4: Simplify right side
    31,086x = 4,428,370,116
  5. Step 5: Solve for x
    x = 4,428,370,116/31,086
  6. Step 6: Final answer
    x = 142,455.45

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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.