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Finding the Third Proportional to 34,694 and 75,178

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Solution

The third proportional to 34,694 and 75,178 is: 162,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694 : 75,178 = 75,178 : x
  2. Step 2: Convert to fraction form
    34,694/75,178 = 75,178/x
  3. Step 3: Cross multiply
    34,694x = 75,178 × 75,178
  4. Step 4: Simplify right side
    34,694x = 5,651,731,684
  5. Step 5: Solve for x
    x = 5,651,731,684/34,694
  6. Step 6: Final answer
    x = 162,902.28

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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.