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Finding the Third Proportional to 72,493.88 and 157,441.50

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Solution

The third proportional to 72,493.88 and 157,441.50 is: 341,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,493.88 : 157,441.50 = 157,441.50 : x
  2. Step 2: Convert to fraction form
    72,493.88/157,441.50 = 157,441.50/x
  3. Step 3: Cross multiply
    72,493.88x = 157,441.50 × 157,441.50
  4. Step 4: Simplify right side
    72,493.88x = 24,787,825,922.25
  5. Step 5: Solve for x
    x = 24,787,825,922.25/72,493.88
  6. Step 6: Final answer
    x = 341,929.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.