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Finding the Third Proportional to 59,901 and 92,739

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Solution

The third proportional to 59,901 and 92,739 is: 143,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,901 : 92,739 = 92,739 : x
  2. Step 2: Convert to fraction form
    59,901/92,739 = 92,739/x
  3. Step 3: Cross multiply
    59,901x = 92,739 × 92,739
  4. Step 4: Simplify right side
    59,901x = 8,600,522,121
  5. Step 5: Solve for x
    x = 8,600,522,121/59,901
  6. Step 6: Final answer
    x = 143,578.94

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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.