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Finding the Third Proportional to 90,776 and 133,244

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Solution

The third proportional to 90,776 and 133,244 is: 195,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776 : 133,244 = 133,244 : x
  2. Step 2: Convert to fraction form
    90,776/133,244 = 133,244/x
  3. Step 3: Cross multiply
    90,776x = 133,244 × 133,244
  4. Step 4: Simplify right side
    90,776x = 17,753,963,536
  5. Step 5: Solve for x
    x = 17,753,963,536/90,776
  6. Step 6: Final answer
    x = 195,579.93

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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.