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Finding the Third Proportional to 70,755.75 and 152,709.75

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Solution

The third proportional to 70,755.75 and 152,709.75 is: 329,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755.75 : 152,709.75 = 152,709.75 : x
  2. Step 2: Convert to fraction form
    70,755.75/152,709.75 = 152,709.75/x
  3. Step 3: Cross multiply
    70,755.75x = 152,709.75 × 152,709.75
  4. Step 4: Simplify right side
    70,755.75x = 23,320,267,745.06
  5. Step 5: Solve for x
    x = 23,320,267,745.06/70,755.75
  6. Step 6: Final answer
    x = 329,588.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.