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Finding the Third Proportional to 104,558 and 162,129

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Solution

The third proportional to 104,558 and 162,129 is: 251,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,558 : 162,129 = 162,129 : x
  2. Step 2: Convert to fraction form
    104,558/162,129 = 162,129/x
  3. Step 3: Cross multiply
    104,558x = 162,129 × 162,129
  4. Step 4: Simplify right side
    104,558x = 26,285,812,641
  5. Step 5: Solve for x
    x = 26,285,812,641/104,558
  6. Step 6: Final answer
    x = 251,399.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.