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Finding the Third Proportional to 76,711 and 164,084

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Solution

The third proportional to 76,711 and 164,084 is: 350,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711 : 164,084 = 164,084 : x
  2. Step 2: Convert to fraction form
    76,711/164,084 = 164,084/x
  3. Step 3: Cross multiply
    76,711x = 164,084 × 164,084
  4. Step 4: Simplify right side
    76,711x = 26,923,559,056
  5. Step 5: Solve for x
    x = 26,923,559,056/76,711
  6. Step 6: Final answer
    x = 350,973.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.