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Finding the Third Proportional to 71,646.75 and 153,861.75

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Solution

The third proportional to 71,646.75 and 153,861.75 is: 330,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.75 : 153,861.75 = 153,861.75 : x
  2. Step 2: Convert to fraction form
    71,646.75/153,861.75 = 153,861.75/x
  3. Step 3: Cross multiply
    71,646.75x = 153,861.75 × 153,861.75
  4. Step 4: Simplify right side
    71,646.75x = 23,673,438,113.06
  5. Step 5: Solve for x
    x = 23,673,438,113.06/71,646.75
  6. Step 6: Final answer
    x = 330,418.87

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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.