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Finding the Third Proportional to 70,913.25 and 151,213.50

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Solution

The third proportional to 70,913.25 and 151,213.50 is: 322,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.25 : 151,213.50 = 151,213.50 : x
  2. Step 2: Convert to fraction form
    70,913.25/151,213.50 = 151,213.50/x
  3. Step 3: Cross multiply
    70,913.25x = 151,213.50 × 151,213.50
  4. Step 4: Simplify right side
    70,913.25x = 22,865,522,582.25
  5. Step 5: Solve for x
    x = 22,865,522,582.25/70,913.25
  6. Step 6: Final answer
    x = 322,443.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.