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Finding the Third Proportional to 105,267.94 and 161,806.78

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Solution

The third proportional to 105,267.94 and 161,806.78 is: 248,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,267.94 : 161,806.78 = 161,806.78 : x
  2. Step 2: Convert to fraction form
    105,267.94/161,806.78 = 161,806.78/x
  3. Step 3: Cross multiply
    105,267.94x = 161,806.78 × 161,806.78
  4. Step 4: Simplify right side
    105,267.94x = 26,181,434,458.49
  5. Step 5: Solve for x
    x = 26,181,434,458.49/105,267.94
  6. Step 6: Final answer
    x = 248,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.