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Finding the Third Proportional to 67,312 and 104,214

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Solution

The third proportional to 67,312 and 104,214 is: 161,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,312 : 104,214 = 104,214 : x
  2. Step 2: Convert to fraction form
    67,312/104,214 = 104,214/x
  3. Step 3: Cross multiply
    67,312x = 104,214 × 104,214
  4. Step 4: Simplify right side
    67,312x = 10,860,557,796
  5. Step 5: Solve for x
    x = 10,860,557,796/67,312
  6. Step 6: Final answer
    x = 161,346.53

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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.