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Finding the Third Proportional to 76,086 and 119,353.50

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Solution

The third proportional to 76,086 and 119,353.50 is: 187,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,086 : 119,353.50 = 119,353.50 : x
  2. Step 2: Convert to fraction form
    76,086/119,353.50 = 119,353.50/x
  3. Step 3: Cross multiply
    76,086x = 119,353.50 × 119,353.50
  4. Step 4: Simplify right side
    76,086x = 14,245,257,962.25
  5. Step 5: Solve for x
    x = 14,245,257,962.25/76,086
  6. Step 6: Final answer
    x = 187,225.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.