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Finding the Third Proportional to 110,058 and 182,094

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Solution

The third proportional to 110,058 and 182,094 is: 301,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,058 : 182,094 = 182,094 : x
  2. Step 2: Convert to fraction form
    110,058/182,094 = 182,094/x
  3. Step 3: Cross multiply
    110,058x = 182,094 × 182,094
  4. Step 4: Simplify right side
    110,058x = 33,158,224,836
  5. Step 5: Solve for x
    x = 33,158,224,836/110,058
  6. Step 6: Final answer
    x = 301,279.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.