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Finding the Third Proportional to 59,302 and 90,175

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Solution

The third proportional to 59,302 and 90,175 is: 137,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,302 : 90,175 = 90,175 : x
  2. Step 2: Convert to fraction form
    59,302/90,175 = 90,175/x
  3. Step 3: Cross multiply
    59,302x = 90,175 × 90,175
  4. Step 4: Simplify right side
    59,302x = 8,131,530,625
  5. Step 5: Solve for x
    x = 8,131,530,625/59,302
  6. Step 6: Final answer
    x = 137,120.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.