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Finding the Third Proportional to 59,353 and 120,904

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Solution

The third proportional to 59,353 and 120,904 is: 246,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,353 : 120,904 = 120,904 : x
  2. Step 2: Convert to fraction form
    59,353/120,904 = 120,904/x
  3. Step 3: Cross multiply
    59,353x = 120,904 × 120,904
  4. Step 4: Simplify right side
    59,353x = 14,617,777,216
  5. Step 5: Solve for x
    x = 14,617,777,216/59,353
  6. Step 6: Final answer
    x = 246,285.40

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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.