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Finding the Third Proportional to 76,077 and 110,205

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Solution

The third proportional to 76,077 and 110,205 is: 159,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,077 : 110,205 = 110,205 : x
  2. Step 2: Convert to fraction form
    76,077/110,205 = 110,205/x
  3. Step 3: Cross multiply
    76,077x = 110,205 × 110,205
  4. Step 4: Simplify right side
    76,077x = 12,145,142,025
  5. Step 5: Solve for x
    x = 12,145,142,025/76,077
  6. Step 6: Final answer
    x = 159,642.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.