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Finding the Third Proportional to 76,448.25 and 162,182.25

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Solution

The third proportional to 76,448.25 and 162,182.25 is: 344,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448.25 : 162,182.25 = 162,182.25 : x
  2. Step 2: Convert to fraction form
    76,448.25/162,182.25 = 162,182.25/x
  3. Step 3: Cross multiply
    76,448.25x = 162,182.25 × 162,182.25
  4. Step 4: Simplify right side
    76,448.25x = 26,303,082,215.06
  5. Step 5: Solve for x
    x = 26,303,082,215.06/76,448.25
  6. Step 6: Final answer
    x = 344,063.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.