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Finding the Third Proportional to 71,863.75 and 151,176.25

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Solution

The third proportional to 71,863.75 and 151,176.25 is: 318,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,863.75 : 151,176.25 = 151,176.25 : x
  2. Step 2: Convert to fraction form
    71,863.75/151,176.25 = 151,176.25/x
  3. Step 3: Cross multiply
    71,863.75x = 151,176.25 × 151,176.25
  4. Step 4: Simplify right side
    71,863.75x = 22,854,258,564.06
  5. Step 5: Solve for x
    x = 22,854,258,564.06/71,863.75
  6. Step 6: Final answer
    x = 318,022.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.