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Finding the Third Proportional to 59,586 and 92,175

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Solution

The third proportional to 59,586 and 92,175 is: 142,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586 : 92,175 = 92,175 : x
  2. Step 2: Convert to fraction form
    59,586/92,175 = 92,175/x
  3. Step 3: Cross multiply
    59,586x = 92,175 × 92,175
  4. Step 4: Simplify right side
    59,586x = 8,496,230,625
  5. Step 5: Solve for x
    x = 8,496,230,625/59,586
  6. Step 6: Final answer
    x = 142,587.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.