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Finding the Third Proportional to 127,950 and 195,835.50

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Solution

The third proportional to 127,950 and 195,835.50 is: 299,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,950 : 195,835.50 = 195,835.50 : x
  2. Step 2: Convert to fraction form
    127,950/195,835.50 = 195,835.50/x
  3. Step 3: Cross multiply
    127,950x = 195,835.50 × 195,835.50
  4. Step 4: Simplify right side
    127,950x = 38,351,543,060.25
  5. Step 5: Solve for x
    x = 38,351,543,060.25/127,950
  6. Step 6: Final answer
    x = 299,738.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.