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Finding the Third Proportional to 76,954 and 122,937.50

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Solution

The third proportional to 76,954 and 122,937.50 is: 196,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,954 : 122,937.50 = 122,937.50 : x
  2. Step 2: Convert to fraction form
    76,954/122,937.50 = 122,937.50/x
  3. Step 3: Cross multiply
    76,954x = 122,937.50 × 122,937.50
  4. Step 4: Simplify right side
    76,954x = 15,113,628,906.25
  5. Step 5: Solve for x
    x = 15,113,628,906.25/76,954
  6. Step 6: Final answer
    x = 196,398.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.