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Finding the Third Proportional to 34,309 and 75,186

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Solution

The third proportional to 34,309 and 75,186 is: 164,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309 : 75,186 = 75,186 : x
  2. Step 2: Convert to fraction form
    34,309/75,186 = 75,186/x
  3. Step 3: Cross multiply
    34,309x = 75,186 × 75,186
  4. Step 4: Simplify right side
    34,309x = 5,652,934,596
  5. Step 5: Solve for x
    x = 5,652,934,596/34,309
  6. Step 6: Final answer
    x = 164,765.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.