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Finding the Third Proportional to 76,050 and 164,388

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Solution

The third proportional to 76,050 and 164,388 is: 355,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050 : 164,388 = 164,388 : x
  2. Step 2: Convert to fraction form
    76,050/164,388 = 164,388/x
  3. Step 3: Cross multiply
    76,050x = 164,388 × 164,388
  4. Step 4: Simplify right side
    76,050x = 27,023,414,544
  5. Step 5: Solve for x
    x = 27,023,414,544/76,050
  6. Step 6: Final answer
    x = 355,337.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.