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Finding the Third Proportional to 72,843.75 and 158,926.50

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Solution

The third proportional to 72,843.75 and 158,926.50 is: 346,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,843.75 : 158,926.50 = 158,926.50 : x
  2. Step 2: Convert to fraction form
    72,843.75/158,926.50 = 158,926.50/x
  3. Step 3: Cross multiply
    72,843.75x = 158,926.50 × 158,926.50
  4. Step 4: Simplify right side
    72,843.75x = 25,257,632,402.25
  5. Step 5: Solve for x
    x = 25,257,632,402.25/72,843.75
  6. Step 6: Final answer
    x = 346,737.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.