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Finding the Third Proportional to 59,379 and 124,518

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Solution

The third proportional to 59,379 and 124,518 is: 261,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,379 : 124,518 = 124,518 : x
  2. Step 2: Convert to fraction form
    59,379/124,518 = 124,518/x
  3. Step 3: Cross multiply
    59,379x = 124,518 × 124,518
  4. Step 4: Simplify right side
    59,379x = 15,504,732,324
  5. Step 5: Solve for x
    x = 15,504,732,324/59,379
  6. Step 6: Final answer
    x = 261,114.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.