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Finding the Third Proportional to 40,272 and 85,910

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Solution

The third proportional to 40,272 and 85,910 is: 183,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,272 : 85,910 = 85,910 : x
  2. Step 2: Convert to fraction form
    40,272/85,910 = 85,910/x
  3. Step 3: Cross multiply
    40,272x = 85,910 × 85,910
  4. Step 4: Simplify right side
    40,272x = 7,380,528,100
  5. Step 5: Solve for x
    x = 7,380,528,100/40,272
  6. Step 6: Final answer
    x = 183,266.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.