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Finding the Third Proportional to 76,711.50 and 164,085

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Solution

The third proportional to 76,711.50 and 164,085 is: 350,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.50 : 164,085 = 164,085 : x
  2. Step 2: Convert to fraction form
    76,711.50/164,085 = 164,085/x
  3. Step 3: Cross multiply
    76,711.50x = 164,085 × 164,085
  4. Step 4: Simplify right side
    76,711.50x = 26,923,887,225
  5. Step 5: Solve for x
    x = 26,923,887,225/76,711.50
  6. Step 6: Final answer
    x = 350,975.89

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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.