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Finding the Third Proportional to 59,867 and 89,801

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Solution

The third proportional to 59,867 and 89,801 is: 134,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,867 : 89,801 = 89,801 : x
  2. Step 2: Convert to fraction form
    59,867/89,801 = 89,801/x
  3. Step 3: Cross multiply
    59,867x = 89,801 × 89,801
  4. Step 4: Simplify right side
    59,867x = 8,064,219,601
  5. Step 5: Solve for x
    x = 8,064,219,601/59,867
  6. Step 6: Final answer
    x = 134,702.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.