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Finding the Third Proportional to 34,347 and 75,255

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Solution

The third proportional to 34,347 and 75,255 is: 164,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,347 : 75,255 = 75,255 : x
  2. Step 2: Convert to fraction form
    34,347/75,255 = 75,255/x
  3. Step 3: Cross multiply
    34,347x = 75,255 × 75,255
  4. Step 4: Simplify right side
    34,347x = 5,663,315,025
  5. Step 5: Solve for x
    x = 5,663,315,025/34,347
  6. Step 6: Final answer
    x = 164,885.29

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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.