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Finding the Third Proportional to 100,867.50 and 151,736.50

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Solution

The third proportional to 100,867.50 and 151,736.50 is: 228,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867.50 : 151,736.50 = 151,736.50 : x
  2. Step 2: Convert to fraction form
    100,867.50/151,736.50 = 151,736.50/x
  3. Step 3: Cross multiply
    100,867.50x = 151,736.50 × 151,736.50
  4. Step 4: Simplify right side
    100,867.50x = 23,023,965,432.25
  5. Step 5: Solve for x
    x = 23,023,965,432.25/100,867.50
  6. Step 6: Final answer
    x = 228,259.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.