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Finding the Third Proportional to 59,355 and 120,908

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Solution

The third proportional to 59,355 and 120,908 is: 246,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,355 : 120,908 = 120,908 : x
  2. Step 2: Convert to fraction form
    59,355/120,908 = 120,908/x
  3. Step 3: Cross multiply
    59,355x = 120,908 × 120,908
  4. Step 4: Simplify right side
    59,355x = 14,618,744,464
  5. Step 5: Solve for x
    x = 14,618,744,464/59,355
  6. Step 6: Final answer
    x = 246,293.40

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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.