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Finding the Third Proportional to 59,820 and 92,891

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Solution

The third proportional to 59,820 and 92,891 is: 144,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,820 : 92,891 = 92,891 : x
  2. Step 2: Convert to fraction form
    59,820/92,891 = 92,891/x
  3. Step 3: Cross multiply
    59,820x = 92,891 × 92,891
  4. Step 4: Simplify right side
    59,820x = 8,628,737,881
  5. Step 5: Solve for x
    x = 8,628,737,881/59,820
  6. Step 6: Final answer
    x = 144,245.03

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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.