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Finding the Third Proportional to 59,508 and 84,600

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Solution

The third proportional to 59,508 and 84,600 is: 120,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,508 : 84,600 = 84,600 : x
  2. Step 2: Convert to fraction form
    59,508/84,600 = 84,600/x
  3. Step 3: Cross multiply
    59,508x = 84,600 × 84,600
  4. Step 4: Simplify right side
    59,508x = 7,157,160,000
  5. Step 5: Solve for x
    x = 7,157,160,000/59,508
  6. Step 6: Final answer
    x = 120,272.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.