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Finding the Third Proportional to 105,718.50 and 144,969.75

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Solution

The third proportional to 105,718.50 and 144,969.75 is: 198,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718.50 : 144,969.75 = 144,969.75 : x
  2. Step 2: Convert to fraction form
    105,718.50/144,969.75 = 144,969.75/x
  3. Step 3: Cross multiply
    105,718.50x = 144,969.75 × 144,969.75
  4. Step 4: Simplify right side
    105,718.50x = 21,016,228,415.06
  5. Step 5: Solve for x
    x = 21,016,228,415.06/105,718.50
  6. Step 6: Final answer
    x = 198,794.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.