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Finding the Third Proportional to 32,841 and 72,243

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Solution

The third proportional to 32,841 and 72,243 is: 158,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841 : 72,243 = 72,243 : x
  2. Step 2: Convert to fraction form
    32,841/72,243 = 72,243/x
  3. Step 3: Cross multiply
    32,841x = 72,243 × 72,243
  4. Step 4: Simplify right side
    32,841x = 5,219,051,049
  5. Step 5: Solve for x
    x = 5,219,051,049/32,841
  6. Step 6: Final answer
    x = 158,918.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.