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Finding the Third Proportional to 76,622.25 and 162,459.75

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Solution

The third proportional to 76,622.25 and 162,459.75 is: 344,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,622.25 : 162,459.75 = 162,459.75 : x
  2. Step 2: Convert to fraction form
    76,622.25/162,459.75 = 162,459.75/x
  3. Step 3: Cross multiply
    76,622.25x = 162,459.75 × 162,459.75
  4. Step 4: Simplify right side
    76,622.25x = 26,393,170,370.06
  5. Step 5: Solve for x
    x = 26,393,170,370.06/76,622.25
  6. Step 6: Final answer
    x = 344,458.31

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