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Finding the Third Proportional to 111,752 and 241,000

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Solution

The third proportional to 111,752 and 241,000 is: 519,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,752 : 241,000 = 241,000 : x
  2. Step 2: Convert to fraction form
    111,752/241,000 = 241,000/x
  3. Step 3: Cross multiply
    111,752x = 241,000 × 241,000
  4. Step 4: Simplify right side
    111,752x = 58,081,000,000
  5. Step 5: Solve for x
    x = 58,081,000,000/111,752
  6. Step 6: Final answer
    x = 519,731.19

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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.