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Finding the Third Proportional to 104,575.50 and 160,002

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Solution

The third proportional to 104,575.50 and 160,002 is: 244,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,575.50 : 160,002 = 160,002 : x
  2. Step 2: Convert to fraction form
    104,575.50/160,002 = 160,002/x
  3. Step 3: Cross multiply
    104,575.50x = 160,002 × 160,002
  4. Step 4: Simplify right side
    104,575.50x = 25,600,640,004
  5. Step 5: Solve for x
    x = 25,600,640,004/104,575.50
  6. Step 6: Final answer
    x = 244,805.33

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