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Finding the Third Proportional to 111,726.84 and 168,634.41

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Solution

The third proportional to 111,726.84 and 168,634.41 is: 254,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,726.84 : 168,634.41 = 168,634.41 : x
  2. Step 2: Convert to fraction form
    111,726.84/168,634.41 = 168,634.41/x
  3. Step 3: Cross multiply
    111,726.84x = 168,634.41 × 168,634.41
  4. Step 4: Simplify right side
    111,726.84x = 28,437,562,971.29
  5. Step 5: Solve for x
    x = 28,437,562,971.29/111,726.84
  6. Step 6: Final answer
    x = 254,527.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.