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Finding the Third Proportional to 69,668.16 and 106,750.97

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Solution

The third proportional to 69,668.16 and 106,750.97 is: 163,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668.16 : 106,750.97 = 106,750.97 : x
  2. Step 2: Convert to fraction form
    69,668.16/106,750.97 = 106,750.97/x
  3. Step 3: Cross multiply
    69,668.16x = 106,750.97 × 106,750.97
  4. Step 4: Simplify right side
    69,668.16x = 11,395,769,329.06
  5. Step 5: Solve for x
    x = 11,395,769,329.06/69,668.16
  6. Step 6: Final answer
    x = 163,572.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.