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Finding the Third Proportional to 76,317 and 112,194

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Solution

The third proportional to 76,317 and 112,194 is: 164,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,317 : 112,194 = 112,194 : x
  2. Step 2: Convert to fraction form
    76,317/112,194 = 112,194/x
  3. Step 3: Cross multiply
    76,317x = 112,194 × 112,194
  4. Step 4: Simplify right side
    76,317x = 12,587,493,636
  5. Step 5: Solve for x
    x = 12,587,493,636/76,317
  6. Step 6: Final answer
    x = 164,936.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.