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Finding the Third Proportional to 31,160 and 66,694

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Solution

The third proportional to 31,160 and 66,694 is: 142,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160 : 66,694 = 66,694 : x
  2. Step 2: Convert to fraction form
    31,160/66,694 = 66,694/x
  3. Step 3: Cross multiply
    31,160x = 66,694 × 66,694
  4. Step 4: Simplify right side
    31,160x = 4,448,089,636
  5. Step 5: Solve for x
    x = 4,448,089,636/31,160
  6. Step 6: Final answer
    x = 142,749.99

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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.