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Finding the Third Proportional to 76,205 and 162,919

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Solution

The third proportional to 76,205 and 162,919 is: 348,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205 : 162,919 = 162,919 : x
  2. Step 2: Convert to fraction form
    76,205/162,919 = 162,919/x
  3. Step 3: Cross multiply
    76,205x = 162,919 × 162,919
  4. Step 4: Simplify right side
    76,205x = 26,542,600,561
  5. Step 5: Solve for x
    x = 26,542,600,561/76,205
  6. Step 6: Final answer
    x = 348,305.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.