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Finding the Third Proportional to 76,126 and 163,917

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Solution

The third proportional to 76,126 and 163,917 is: 352,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,126 : 163,917 = 163,917 : x
  2. Step 2: Convert to fraction form
    76,126/163,917 = 163,917/x
  3. Step 3: Cross multiply
    76,126x = 163,917 × 163,917
  4. Step 4: Simplify right side
    76,126x = 26,868,782,889
  5. Step 5: Solve for x
    x = 26,868,782,889/76,126
  6. Step 6: Final answer
    x = 352,951.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.