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Finding the Third Proportional to 57,437 and 83,927

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Solution

The third proportional to 57,437 and 83,927 is: 122,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,437 : 83,927 = 83,927 : x
  2. Step 2: Convert to fraction form
    57,437/83,927 = 83,927/x
  3. Step 3: Cross multiply
    57,437x = 83,927 × 83,927
  4. Step 4: Simplify right side
    57,437x = 7,043,741,329
  5. Step 5: Solve for x
    x = 7,043,741,329/57,437
  6. Step 6: Final answer
    x = 122,634.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.