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Finding the Third Proportional to 40,797 and 85,725

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Solution

The third proportional to 40,797 and 85,725 is: 180,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,797 : 85,725 = 85,725 : x
  2. Step 2: Convert to fraction form
    40,797/85,725 = 85,725/x
  3. Step 3: Cross multiply
    40,797x = 85,725 × 85,725
  4. Step 4: Simplify right side
    40,797x = 7,348,775,625
  5. Step 5: Solve for x
    x = 7,348,775,625/40,797
  6. Step 6: Final answer
    x = 180,130.29

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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.