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Finding the Third Proportional to 90,624 and 133,263

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Solution

The third proportional to 90,624 and 133,263 is: 195,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,624 : 133,263 = 133,263 : x
  2. Step 2: Convert to fraction form
    90,624/133,263 = 133,263/x
  3. Step 3: Cross multiply
    90,624x = 133,263 × 133,263
  4. Step 4: Simplify right side
    90,624x = 17,759,027,169
  5. Step 5: Solve for x
    x = 17,759,027,169/90,624
  6. Step 6: Final answer
    x = 195,963.84

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