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Finding the Third Proportional to 32,042.25 and 67,142.25

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Solution

The third proportional to 32,042.25 and 67,142.25 is: 140,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.25 : 67,142.25 = 67,142.25 : x
  2. Step 2: Convert to fraction form
    32,042.25/67,142.25 = 67,142.25/x
  3. Step 3: Cross multiply
    32,042.25x = 67,142.25 × 67,142.25
  4. Step 4: Simplify right side
    32,042.25x = 4,508,081,735.06
  5. Step 5: Solve for x
    x = 4,508,081,735.06/32,042.25
  6. Step 6: Final answer
    x = 140,691.80

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