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Finding the Third Proportional to 136,711.50 and 214,027.50

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Solution

The third proportional to 136,711.50 and 214,027.50 is: 335,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,711.50 : 214,027.50 = 214,027.50 : x
  2. Step 2: Convert to fraction form
    136,711.50/214,027.50 = 214,027.50/x
  3. Step 3: Cross multiply
    136,711.50x = 214,027.50 × 214,027.50
  4. Step 4: Simplify right side
    136,711.50x = 45,807,770,756.25
  5. Step 5: Solve for x
    x = 45,807,770,756.25/136,711.50
  6. Step 6: Final answer
    x = 335,068.89

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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.