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Finding the Third Proportional to 106,419.38 and 158,706.56

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Solution

The third proportional to 106,419.38 and 158,706.56 is: 236,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.38 : 158,706.56 = 158,706.56 : x
  2. Step 2: Convert to fraction form
    106,419.38/158,706.56 = 158,706.56/x
  3. Step 3: Cross multiply
    106,419.38x = 158,706.56 × 158,706.56
  4. Step 4: Simplify right side
    106,419.38x = 25,187,772,980.57
  5. Step 5: Solve for x
    x = 25,187,772,980.57/106,419.38
  6. Step 6: Final answer
    x = 236,684.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.