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Finding the Third Proportional to 68,806.97 and 106,341.61

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Solution

The third proportional to 68,806.97 and 106,341.61 is: 164,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,806.97 : 106,341.61 = 106,341.61 : x
  2. Step 2: Convert to fraction form
    68,806.97/106,341.61 = 106,341.61/x
  3. Step 3: Cross multiply
    68,806.97x = 106,341.61 × 106,341.61
  4. Step 4: Simplify right side
    68,806.97x = 11,308,537,884.47
  5. Step 5: Solve for x
    x = 11,308,537,884.47/68,806.97
  6. Step 6: Final answer
    x = 164,351.64

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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.