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Finding the Third Proportional to 34,341 and 75,243

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Solution

The third proportional to 34,341 and 75,243 is: 164,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,341 : 75,243 = 75,243 : x
  2. Step 2: Convert to fraction form
    34,341/75,243 = 75,243/x
  3. Step 3: Cross multiply
    34,341x = 75,243 × 75,243
  4. Step 4: Simplify right side
    34,341x = 5,661,509,049
  5. Step 5: Solve for x
    x = 5,661,509,049/34,341
  6. Step 6: Final answer
    x = 164,861.51

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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.