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Finding the Third Proportional to 104,143 and 215,671

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Solution

The third proportional to 104,143 and 215,671 is: 446,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,143 : 215,671 = 215,671 : x
  2. Step 2: Convert to fraction form
    104,143/215,671 = 215,671/x
  3. Step 3: Cross multiply
    104,143x = 215,671 × 215,671
  4. Step 4: Simplify right side
    104,143x = 46,513,980,241
  5. Step 5: Solve for x
    x = 46,513,980,241/104,143
  6. Step 6: Final answer
    x = 446,635.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.