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Finding the Third Proportional to 111,094 and 180,491

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Solution

The third proportional to 111,094 and 180,491 is: 293,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,094 : 180,491 = 180,491 : x
  2. Step 2: Convert to fraction form
    111,094/180,491 = 180,491/x
  3. Step 3: Cross multiply
    111,094x = 180,491 × 180,491
  4. Step 4: Simplify right side
    111,094x = 32,577,001,081
  5. Step 5: Solve for x
    x = 32,577,001,081/111,094
  6. Step 6: Final answer
    x = 293,238.17

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.