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Finding the Third Proportional to 95,927.50 and 150,153

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Solution

The third proportional to 95,927.50 and 150,153 is: 235,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,927.50 : 150,153 = 150,153 : x
  2. Step 2: Convert to fraction form
    95,927.50/150,153 = 150,153/x
  3. Step 3: Cross multiply
    95,927.50x = 150,153 × 150,153
  4. Step 4: Simplify right side
    95,927.50x = 22,545,923,409
  5. Step 5: Solve for x
    x = 22,545,923,409/95,927.50
  6. Step 6: Final answer
    x = 235,030.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.