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Finding the Third Proportional to 114,638.75 and 152,892.75

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Solution

The third proportional to 114,638.75 and 152,892.75 is: 203,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,638.75 : 152,892.75 = 152,892.75 : x
  2. Step 2: Convert to fraction form
    114,638.75/152,892.75 = 152,892.75/x
  3. Step 3: Cross multiply
    114,638.75x = 152,892.75 × 152,892.75
  4. Step 4: Simplify right side
    114,638.75x = 23,376,193,002.56
  5. Step 5: Solve for x
    x = 23,376,193,002.56/114,638.75
  6. Step 6: Final answer
    x = 203,911.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.