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Finding the Third Proportional to 35,042 and 74,992

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Solution

The third proportional to 35,042 and 74,992 is: 160,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,042 : 74,992 = 74,992 : x
  2. Step 2: Convert to fraction form
    35,042/74,992 = 74,992/x
  3. Step 3: Cross multiply
    35,042x = 74,992 × 74,992
  4. Step 4: Simplify right side
    35,042x = 5,623,800,064
  5. Step 5: Solve for x
    x = 5,623,800,064/35,042
  6. Step 6: Final answer
    x = 160,487.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.