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Finding the Third Proportional to 58,357 and 84,983

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Solution

The third proportional to 58,357 and 84,983 is: 123,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,357 : 84,983 = 84,983 : x
  2. Step 2: Convert to fraction form
    58,357/84,983 = 84,983/x
  3. Step 3: Cross multiply
    58,357x = 84,983 × 84,983
  4. Step 4: Simplify right side
    58,357x = 7,222,110,289
  5. Step 5: Solve for x
    x = 7,222,110,289/58,357
  6. Step 6: Final answer
    x = 123,757.39

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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.