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Finding the Third Proportional to 40,466 and 85,954

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Solution

The third proportional to 40,466 and 85,954 is: 182,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,466 : 85,954 = 85,954 : x
  2. Step 2: Convert to fraction form
    40,466/85,954 = 85,954/x
  3. Step 3: Cross multiply
    40,466x = 85,954 × 85,954
  4. Step 4: Simplify right side
    40,466x = 7,388,090,116
  5. Step 5: Solve for x
    x = 7,388,090,116/40,466
  6. Step 6: Final answer
    x = 182,575.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.