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Finding the Third Proportional to 90,591 and 133,224

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Solution

The third proportional to 90,591 and 133,224 is: 195,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,591 : 133,224 = 133,224 : x
  2. Step 2: Convert to fraction form
    90,591/133,224 = 133,224/x
  3. Step 3: Cross multiply
    90,591x = 133,224 × 133,224
  4. Step 4: Simplify right side
    90,591x = 17,748,634,176
  5. Step 5: Solve for x
    x = 17,748,634,176/90,591
  6. Step 6: Final answer
    x = 195,920.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.