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Finding the Third Proportional to 35,058 and 76,920

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Solution

The third proportional to 35,058 and 76,920 is: 168,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,058 : 76,920 = 76,920 : x
  2. Step 2: Convert to fraction form
    35,058/76,920 = 76,920/x
  3. Step 3: Cross multiply
    35,058x = 76,920 × 76,920
  4. Step 4: Simplify right side
    35,058x = 5,916,686,400
  5. Step 5: Solve for x
    x = 5,916,686,400/35,058
  6. Step 6: Final answer
    x = 168,768.51

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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.