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Finding the Third Proportional to 105,477.19 and 158,238.56

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Solution

The third proportional to 105,477.19 and 158,238.56 is: 237,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,477.19 : 158,238.56 = 158,238.56 : x
  2. Step 2: Convert to fraction form
    105,477.19/158,238.56 = 158,238.56/x
  3. Step 3: Cross multiply
    105,477.19x = 158,238.56 × 158,238.56
  4. Step 4: Simplify right side
    105,477.19x = 25,039,442,662.07
  5. Step 5: Solve for x
    x = 25,039,442,662.07/105,477.19
  6. Step 6: Final answer
    x = 237,392.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.