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Finding the Third Proportional to 76,376 and 164,050

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Solution

The third proportional to 76,376 and 164,050 is: 352,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376 : 164,050 = 164,050 : x
  2. Step 2: Convert to fraction form
    76,376/164,050 = 164,050/x
  3. Step 3: Cross multiply
    76,376x = 164,050 × 164,050
  4. Step 4: Simplify right side
    76,376x = 26,912,402,500
  5. Step 5: Solve for x
    x = 26,912,402,500/76,376
  6. Step 6: Final answer
    x = 352,367.27

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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.