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Finding the Third Proportional to 32,942 and 68,080

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Solution

The third proportional to 32,942 and 68,080 is: 140,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942 : 68,080 = 68,080 : x
  2. Step 2: Convert to fraction form
    32,942/68,080 = 68,080/x
  3. Step 3: Cross multiply
    32,942x = 68,080 × 68,080
  4. Step 4: Simplify right side
    32,942x = 4,634,886,400
  5. Step 5: Solve for x
    x = 4,634,886,400/32,942
  6. Step 6: Final answer
    x = 140,698.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.