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Finding the Third Proportional to 34,414 and 75,388

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Solution

The third proportional to 34,414 and 75,388 is: 165,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414 : 75,388 = 75,388 : x
  2. Step 2: Convert to fraction form
    34,414/75,388 = 75,388/x
  3. Step 3: Cross multiply
    34,414x = 75,388 × 75,388
  4. Step 4: Simplify right side
    34,414x = 5,683,350,544
  5. Step 5: Solve for x
    x = 5,683,350,544/34,414
  6. Step 6: Final answer
    x = 165,146.47

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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.