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Finding the Third Proportional to 35,058 and 75,770

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Solution

The third proportional to 35,058 and 75,770 is: 163,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,058 : 75,770 = 75,770 : x
  2. Step 2: Convert to fraction form
    35,058/75,770 = 75,770/x
  3. Step 3: Cross multiply
    35,058x = 75,770 × 75,770
  4. Step 4: Simplify right side
    35,058x = 5,741,092,900
  5. Step 5: Solve for x
    x = 5,741,092,900/35,058
  6. Step 6: Final answer
    x = 163,759.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.