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Finding the Third Proportional to 58,684 and 87,801

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Solution

The third proportional to 58,684 and 87,801 is: 131,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684 : 87,801 = 87,801 : x
  2. Step 2: Convert to fraction form
    58,684/87,801 = 87,801/x
  3. Step 3: Cross multiply
    58,684x = 87,801 × 87,801
  4. Step 4: Simplify right side
    58,684x = 7,709,015,601
  5. Step 5: Solve for x
    x = 7,709,015,601/58,684
  6. Step 6: Final answer
    x = 131,364.86

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Why These Related Problems?

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