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Finding the Third Proportional to 35,058 and 74,084

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Solution

The third proportional to 35,058 and 74,084 is: 156,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,058 : 74,084 = 74,084 : x
  2. Step 2: Convert to fraction form
    35,058/74,084 = 74,084/x
  3. Step 3: Cross multiply
    35,058x = 74,084 × 74,084
  4. Step 4: Simplify right side
    35,058x = 5,488,439,056
  5. Step 5: Solve for x
    x = 5,488,439,056/35,058
  6. Step 6: Final answer
    x = 156,553.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.