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Finding the Third Proportional to 58,227 and 124,755

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Solution

The third proportional to 58,227 and 124,755 is: 267,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,227 : 124,755 = 124,755 : x
  2. Step 2: Convert to fraction form
    58,227/124,755 = 124,755/x
  3. Step 3: Cross multiply
    58,227x = 124,755 × 124,755
  4. Step 4: Simplify right side
    58,227x = 15,563,810,025
  5. Step 5: Solve for x
    x = 15,563,810,025/58,227
  6. Step 6: Final answer
    x = 267,295.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.