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Finding the Third Proportional to 76,684.50 and 164,031

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Solution

The third proportional to 76,684.50 and 164,031 is: 350,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.50 : 164,031 = 164,031 : x
  2. Step 2: Convert to fraction form
    76,684.50/164,031 = 164,031/x
  3. Step 3: Cross multiply
    76,684.50x = 164,031 × 164,031
  4. Step 4: Simplify right side
    76,684.50x = 26,906,168,961
  5. Step 5: Solve for x
    x = 26,906,168,961/76,684.50
  6. Step 6: Final answer
    x = 350,868.41

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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.