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Finding the Third Proportional to 85,976 and 183,023

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Solution

The third proportional to 85,976 and 183,023 is: 389,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,976 : 183,023 = 183,023 : x
  2. Step 2: Convert to fraction form
    85,976/183,023 = 183,023/x
  3. Step 3: Cross multiply
    85,976x = 183,023 × 183,023
  4. Step 4: Simplify right side
    85,976x = 33,497,418,529
  5. Step 5: Solve for x
    x = 33,497,418,529/85,976
  6. Step 6: Final answer
    x = 389,613.60

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Why These Related Problems?

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