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Finding the Third Proportional to 76,086 and 162,723.94

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Solution

The third proportional to 76,086 and 162,723.94 is: 348,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086 : 162,723.94 = 162,723.94 : x
  2. Step 2: Convert to fraction form
    76,086/162,723.94 = 162,723.94/x
  3. Step 3: Cross multiply
    76,086x = 162,723.94 × 162,723.94
  4. Step 4: Simplify right side
    76,086x = 26,479,079,835.50
  5. Step 5: Solve for x
    x = 26,479,079,835.50/76,086
  6. Step 6: Final answer
    x = 348,015.14

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Why These Related Problems?

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