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Finding the Third Proportional to 32,427 and 68,134.50

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Solution

The third proportional to 32,427 and 68,134.50 is: 143,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427 : 68,134.50 = 68,134.50 : x
  2. Step 2: Convert to fraction form
    32,427/68,134.50 = 68,134.50/x
  3. Step 3: Cross multiply
    32,427x = 68,134.50 × 68,134.50
  4. Step 4: Simplify right side
    32,427x = 4,642,310,090.25
  5. Step 5: Solve for x
    x = 4,642,310,090.25/32,427
  6. Step 6: Final answer
    x = 143,161.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.