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Finding the Third Proportional to 76,026 and 117,027

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Solution

The third proportional to 76,026 and 117,027 is: 180,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,026 : 117,027 = 117,027 : x
  2. Step 2: Convert to fraction form
    76,026/117,027 = 117,027/x
  3. Step 3: Cross multiply
    76,026x = 117,027 × 117,027
  4. Step 4: Simplify right side
    76,026x = 13,695,318,729
  5. Step 5: Solve for x
    x = 13,695,318,729/76,026
  6. Step 6: Final answer
    x = 180,139.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.