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Finding the Third Proportional to 104,173 and 215,716

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Solution

The third proportional to 104,173 and 215,716 is: 446,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,173 : 215,716 = 215,716 : x
  2. Step 2: Convert to fraction form
    104,173/215,716 = 215,716/x
  3. Step 3: Cross multiply
    104,173x = 215,716 × 215,716
  4. Step 4: Simplify right side
    104,173x = 46,533,392,656
  5. Step 5: Solve for x
    x = 46,533,392,656/104,173
  6. Step 6: Final answer
    x = 446,693.41

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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.