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Finding the Third Proportional to 104,565 and 162,141

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Solution

The third proportional to 104,565 and 162,141 is: 251,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,565 : 162,141 = 162,141 : x
  2. Step 2: Convert to fraction form
    104,565/162,141 = 162,141/x
  3. Step 3: Cross multiply
    104,565x = 162,141 × 162,141
  4. Step 4: Simplify right side
    104,565x = 26,289,703,881
  5. Step 5: Solve for x
    x = 26,289,703,881/104,565
  6. Step 6: Final answer
    x = 251,419.73

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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.