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Finding the Third Proportional to 78,160 and 168,171

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Solution

The third proportional to 78,160 and 168,171 is: 361,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160 : 168,171 = 168,171 : x
  2. Step 2: Convert to fraction form
    78,160/168,171 = 168,171/x
  3. Step 3: Cross multiply
    78,160x = 168,171 × 168,171
  4. Step 4: Simplify right side
    78,160x = 28,281,485,241
  5. Step 5: Solve for x
    x = 28,281,485,241/78,160
  6. Step 6: Final answer
    x = 361,840.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.