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Finding the Third Proportional to 76,175 and 113,817

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Solution

The third proportional to 76,175 and 113,817 is: 170,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,175 : 113,817 = 113,817 : x
  2. Step 2: Convert to fraction form
    76,175/113,817 = 113,817/x
  3. Step 3: Cross multiply
    76,175x = 113,817 × 113,817
  4. Step 4: Simplify right side
    76,175x = 12,954,309,489
  5. Step 5: Solve for x
    x = 12,954,309,489/76,175
  6. Step 6: Final answer
    x = 170,059.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.