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Finding the Third Proportional to 35,085 and 75,151

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Solution

The third proportional to 35,085 and 75,151 is: 160,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,085 : 75,151 = 75,151 : x
  2. Step 2: Convert to fraction form
    35,085/75,151 = 75,151/x
  3. Step 3: Cross multiply
    35,085x = 75,151 × 75,151
  4. Step 4: Simplify right side
    35,085x = 5,647,672,801
  5. Step 5: Solve for x
    x = 5,647,672,801/35,085
  6. Step 6: Final answer
    x = 160,971.15

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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.