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Finding the Third Proportional to 109,173 and 239,127

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Solution

The third proportional to 109,173 and 239,127 is: 523,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,173 : 239,127 = 239,127 : x
  2. Step 2: Convert to fraction form
    109,173/239,127 = 239,127/x
  3. Step 3: Cross multiply
    109,173x = 239,127 × 239,127
  4. Step 4: Simplify right side
    109,173x = 57,181,722,129
  5. Step 5: Solve for x
    x = 57,181,722,129/109,173
  6. Step 6: Final answer
    x = 523,771.65

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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.