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Finding the Third Proportional to 96,733 and 136,999.50

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Solution

The third proportional to 96,733 and 136,999.50 is: 194,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,733 : 136,999.50 = 136,999.50 : x
  2. Step 2: Convert to fraction form
    96,733/136,999.50 = 136,999.50/x
  3. Step 3: Cross multiply
    96,733x = 136,999.50 × 136,999.50
  4. Step 4: Simplify right side
    96,733x = 18,768,863,000.25
  5. Step 5: Solve for x
    x = 18,768,863,000.25/96,733
  6. Step 6: Final answer
    x = 194,027.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.