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Finding the Third Proportional to 105,027 and 159,483

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Solution

The third proportional to 105,027 and 159,483 is: 242,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027 : 159,483 = 159,483 : x
  2. Step 2: Convert to fraction form
    105,027/159,483 = 159,483/x
  3. Step 3: Cross multiply
    105,027x = 159,483 × 159,483
  4. Step 4: Simplify right side
    105,027x = 25,434,827,289
  5. Step 5: Solve for x
    x = 25,434,827,289/105,027
  6. Step 6: Final answer
    x = 242,174.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.