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Finding the Third Proportional to 96,744.38 and 146,576.25

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Solution

The third proportional to 96,744.38 and 146,576.25 is: 222,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,744.38 : 146,576.25 = 146,576.25 : x
  2. Step 2: Convert to fraction form
    96,744.38/146,576.25 = 146,576.25/x
  3. Step 3: Cross multiply
    96,744.38x = 146,576.25 × 146,576.25
  4. Step 4: Simplify right side
    96,744.38x = 21,484,597,064.06
  5. Step 5: Solve for x
    x = 21,484,597,064.06/96,744.38
  6. Step 6: Final answer
    x = 222,075.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.