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Finding the Third Proportional to 70,058 and 145,084

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Solution

The third proportional to 70,058 and 145,084 is: 300,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,058 : 145,084 = 145,084 : x
  2. Step 2: Convert to fraction form
    70,058/145,084 = 145,084/x
  3. Step 3: Cross multiply
    70,058x = 145,084 × 145,084
  4. Step 4: Simplify right side
    70,058x = 21,049,367,056
  5. Step 5: Solve for x
    x = 21,049,367,056/70,058
  6. Step 6: Final answer
    x = 300,456.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.