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Finding the Third Proportional to 58,447 and 124,174

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Solution

The third proportional to 58,447 and 124,174 is: 263,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,447 : 124,174 = 124,174 : x
  2. Step 2: Convert to fraction form
    58,447/124,174 = 124,174/x
  3. Step 3: Cross multiply
    58,447x = 124,174 × 124,174
  4. Step 4: Simplify right side
    58,447x = 15,419,182,276
  5. Step 5: Solve for x
    x = 15,419,182,276/58,447
  6. Step 6: Final answer
    x = 263,814.78

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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.