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Finding the Third Proportional to 95,936 and 146,828.50

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Solution

The third proportional to 95,936 and 146,828.50 is: 224,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,936 : 146,828.50 = 146,828.50 : x
  2. Step 2: Convert to fraction form
    95,936/146,828.50 = 146,828.50/x
  3. Step 3: Cross multiply
    95,936x = 146,828.50 × 146,828.50
  4. Step 4: Simplify right side
    95,936x = 21,558,608,412.25
  5. Step 5: Solve for x
    x = 21,558,608,412.25/95,936
  6. Step 6: Final answer
    x = 224,718.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.