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Finding the Third Proportional to 67,636.81 and 105,139.31

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Solution

The third proportional to 67,636.81 and 105,139.31 is: 163,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,636.81 : 105,139.31 = 105,139.31 : x
  2. Step 2: Convert to fraction form
    67,636.81/105,139.31 = 105,139.31/x
  3. Step 3: Cross multiply
    67,636.81x = 105,139.31 × 105,139.31
  4. Step 4: Simplify right side
    67,636.81x = 11,054,275,032.97
  5. Step 5: Solve for x
    x = 11,054,275,032.97/67,636.81
  6. Step 6: Final answer
    x = 163,435.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.