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Finding the Third Proportional to 78,698 and 124,667

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Solution

The third proportional to 78,698 and 124,667 is: 197,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,698 : 124,667 = 124,667 : x
  2. Step 2: Convert to fraction form
    78,698/124,667 = 124,667/x
  3. Step 3: Cross multiply
    78,698x = 124,667 × 124,667
  4. Step 4: Simplify right side
    78,698x = 15,541,860,889
  5. Step 5: Solve for x
    x = 15,541,860,889/78,698
  6. Step 6: Final answer
    x = 197,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.