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Finding the Third Proportional to 63,012.94 and 137,986.03

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Solution

The third proportional to 63,012.94 and 137,986.03 is: 302,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,012.94 : 137,986.03 = 137,986.03 : x
  2. Step 2: Convert to fraction form
    63,012.94/137,986.03 = 137,986.03/x
  3. Step 3: Cross multiply
    63,012.94x = 137,986.03 × 137,986.03
  4. Step 4: Simplify right side
    63,012.94x = 19,040,144,820.13
  5. Step 5: Solve for x
    x = 19,040,144,820.13/63,012.94
  6. Step 6: Final answer
    x = 302,162.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.