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Finding the Third Proportional to 59,652 and 91,350

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Solution

The third proportional to 59,652 and 91,350 is: 139,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,652 : 91,350 = 91,350 : x
  2. Step 2: Convert to fraction form
    59,652/91,350 = 91,350/x
  3. Step 3: Cross multiply
    59,652x = 91,350 × 91,350
  4. Step 4: Simplify right side
    59,652x = 8,344,822,500
  5. Step 5: Solve for x
    x = 8,344,822,500/59,652
  6. Step 6: Final answer
    x = 139,891.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.