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Finding the Third Proportional to 34,350 and 75,252

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Solution

The third proportional to 34,350 and 75,252 is: 164,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350 : 75,252 = 75,252 : x
  2. Step 2: Convert to fraction form
    34,350/75,252 = 75,252/x
  3. Step 3: Cross multiply
    34,350x = 75,252 × 75,252
  4. Step 4: Simplify right side
    34,350x = 5,662,863,504
  5. Step 5: Solve for x
    x = 5,662,863,504/34,350
  6. Step 6: Final answer
    x = 164,857.74

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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.