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Finding the Third Proportional to 105,728.63 and 158,559.19

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Solution

The third proportional to 105,728.63 and 158,559.19 is: 237,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.63 : 158,559.19 = 158,559.19 : x
  2. Step 2: Convert to fraction form
    105,728.63/158,559.19 = 158,559.19/x
  3. Step 3: Cross multiply
    105,728.63x = 158,559.19 × 158,559.19
  4. Step 4: Simplify right side
    105,728.63x = 25,141,015,940.66
  5. Step 5: Solve for x
    x = 25,141,015,940.66/105,728.63
  6. Step 6: Final answer
    x = 237,788.17

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Why These Related Problems?

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