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Finding the Third Proportional to 61,801 and 92,703

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Solution

The third proportional to 61,801 and 92,703 is: 139,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,801 : 92,703 = 92,703 : x
  2. Step 2: Convert to fraction form
    61,801/92,703 = 92,703/x
  3. Step 3: Cross multiply
    61,801x = 92,703 × 92,703
  4. Step 4: Simplify right side
    61,801x = 8,593,846,209
  5. Step 5: Solve for x
    x = 8,593,846,209/61,801
  6. Step 6: Final answer
    x = 139,056.75

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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.