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Finding the Third Proportional to 91,504 and 146,105

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Solution

The third proportional to 91,504 and 146,105 is: 233,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,504 : 146,105 = 146,105 : x
  2. Step 2: Convert to fraction form
    91,504/146,105 = 146,105/x
  3. Step 3: Cross multiply
    91,504x = 146,105 × 146,105
  4. Step 4: Simplify right side
    91,504x = 21,346,671,025
  5. Step 5: Solve for x
    x = 21,346,671,025/91,504
  6. Step 6: Final answer
    x = 233,286.75

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.