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Finding the Third Proportional to 89,940 and 126,006

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Solution

The third proportional to 89,940 and 126,006 is: 176,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,940 : 126,006 = 126,006 : x
  2. Step 2: Convert to fraction form
    89,940/126,006 = 126,006/x
  3. Step 3: Cross multiply
    89,940x = 126,006 × 126,006
  4. Step 4: Simplify right side
    89,940x = 15,877,512,036
  5. Step 5: Solve for x
    x = 15,877,512,036/89,940
  6. Step 6: Final answer
    x = 176,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.