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Finding the Third Proportional to 111,076 and 239,892

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Solution

The third proportional to 111,076 and 239,892 is: 518,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,076 : 239,892 = 239,892 : x
  2. Step 2: Convert to fraction form
    111,076/239,892 = 239,892/x
  3. Step 3: Cross multiply
    111,076x = 239,892 × 239,892
  4. Step 4: Simplify right side
    111,076x = 57,548,171,664
  5. Step 5: Solve for x
    x = 57,548,171,664/111,076
  6. Step 6: Final answer
    x = 518,097.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.