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Finding the Third Proportional to 92,037 and 136,759.50

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Solution

The third proportional to 92,037 and 136,759.50 is: 203,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,037 : 136,759.50 = 136,759.50 : x
  2. Step 2: Convert to fraction form
    92,037/136,759.50 = 136,759.50/x
  3. Step 3: Cross multiply
    92,037x = 136,759.50 × 136,759.50
  4. Step 4: Simplify right side
    92,037x = 18,703,160,840.25
  5. Step 5: Solve for x
    x = 18,703,160,840.25/92,037
  6. Step 6: Final answer
    x = 203,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.