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Finding the Third Proportional to 59,404 and 120,998

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Solution

The third proportional to 59,404 and 120,998 is: 246,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,404 : 120,998 = 120,998 : x
  2. Step 2: Convert to fraction form
    59,404/120,998 = 120,998/x
  3. Step 3: Cross multiply
    59,404x = 120,998 × 120,998
  4. Step 4: Simplify right side
    59,404x = 14,640,516,004
  5. Step 5: Solve for x
    x = 14,640,516,004/59,404
  6. Step 6: Final answer
    x = 246,456.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.