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Finding the Third Proportional to 35,092 and 76,745

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Solution

The third proportional to 35,092 and 76,745 is: 167,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,092 : 76,745 = 76,745 : x
  2. Step 2: Convert to fraction form
    35,092/76,745 = 76,745/x
  3. Step 3: Cross multiply
    35,092x = 76,745 × 76,745
  4. Step 4: Simplify right side
    35,092x = 5,889,795,025
  5. Step 5: Solve for x
    x = 5,889,795,025/35,092
  6. Step 6: Final answer
    x = 167,838.68

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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.