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Finding the Third Proportional to 89,193.50 and 122,309

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Solution

The third proportional to 89,193.50 and 122,309 is: 167,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,193.50 : 122,309 = 122,309 : x
  2. Step 2: Convert to fraction form
    89,193.50/122,309 = 122,309/x
  3. Step 3: Cross multiply
    89,193.50x = 122,309 × 122,309
  4. Step 4: Simplify right side
    89,193.50x = 14,959,491,481
  5. Step 5: Solve for x
    x = 14,959,491,481/89,193.50
  6. Step 6: Final answer
    x = 167,719.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.