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Finding the Third Proportional to 35,016 and 74,890

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Solution

The third proportional to 35,016 and 74,890 is: 160,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016 : 74,890 = 74,890 : x
  2. Step 2: Convert to fraction form
    35,016/74,890 = 74,890/x
  3. Step 3: Cross multiply
    35,016x = 74,890 × 74,890
  4. Step 4: Simplify right side
    35,016x = 5,608,512,100
  5. Step 5: Solve for x
    x = 5,608,512,100/35,016
  6. Step 6: Final answer
    x = 160,169.98

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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.