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Finding the Third Proportional to 103,975.31 and 144,868.50

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Solution

The third proportional to 103,975.31 and 144,868.50 is: 201,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975.31 : 144,868.50 = 144,868.50 : x
  2. Step 2: Convert to fraction form
    103,975.31/144,868.50 = 144,868.50/x
  3. Step 3: Cross multiply
    103,975.31x = 144,868.50 × 144,868.50
  4. Step 4: Simplify right side
    103,975.31x = 20,986,882,292.25
  5. Step 5: Solve for x
    x = 20,986,882,292.25/103,975.31
  6. Step 6: Final answer
    x = 201,844.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.