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Finding the Third Proportional to 101,862 and 227,052

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Solution

The third proportional to 101,862 and 227,052 is: 506,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,862 : 227,052 = 227,052 : x
  2. Step 2: Convert to fraction form
    101,862/227,052 = 227,052/x
  3. Step 3: Cross multiply
    101,862x = 227,052 × 227,052
  4. Step 4: Simplify right side
    101,862x = 51,552,610,704
  5. Step 5: Solve for x
    x = 51,552,610,704/101,862
  6. Step 6: Final answer
    x = 506,102.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.