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Finding the Third Proportional to 34,914 and 75,904

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Solution

The third proportional to 34,914 and 75,904 is: 165,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,914 : 75,904 = 75,904 : x
  2. Step 2: Convert to fraction form
    34,914/75,904 = 75,904/x
  3. Step 3: Cross multiply
    34,914x = 75,904 × 75,904
  4. Step 4: Simplify right side
    34,914x = 5,761,417,216
  5. Step 5: Solve for x
    x = 5,761,417,216/34,914
  6. Step 6: Final answer
    x = 165,017.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.