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Finding the Third Proportional to 73,876.50 and 158,265

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Solution

The third proportional to 73,876.50 and 158,265 is: 339,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.50 : 158,265 = 158,265 : x
  2. Step 2: Convert to fraction form
    73,876.50/158,265 = 158,265/x
  3. Step 3: Cross multiply
    73,876.50x = 158,265 × 158,265
  4. Step 4: Simplify right side
    73,876.50x = 25,047,810,225
  5. Step 5: Solve for x
    x = 25,047,810,225/73,876.50
  6. Step 6: Final answer
    x = 339,049.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.