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Finding the Third Proportional to 71,466.75 and 153,699.75

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Solution

The third proportional to 71,466.75 and 153,699.75 is: 330,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466.75 : 153,699.75 = 153,699.75 : x
  2. Step 2: Convert to fraction form
    71,466.75/153,699.75 = 153,699.75/x
  3. Step 3: Cross multiply
    71,466.75x = 153,699.75 × 153,699.75
  4. Step 4: Simplify right side
    71,466.75x = 23,623,613,150.06
  5. Step 5: Solve for x
    x = 23,623,613,150.06/71,466.75
  6. Step 6: Final answer
    x = 330,553.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.