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Finding the Third Proportional to 79,309 and 122,745

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Solution

The third proportional to 79,309 and 122,745 is: 189,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,309 : 122,745 = 122,745 : x
  2. Step 2: Convert to fraction form
    79,309/122,745 = 122,745/x
  3. Step 3: Cross multiply
    79,309x = 122,745 × 122,745
  4. Step 4: Simplify right side
    79,309x = 15,066,335,025
  5. Step 5: Solve for x
    x = 15,066,335,025/79,309
  6. Step 6: Final answer
    x = 189,970.05

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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.