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Finding the Third Proportional to 68,668.50 and 144,718.50

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Solution

The third proportional to 68,668.50 and 144,718.50 is: 304,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,668.50 : 144,718.50 = 144,718.50 : x
  2. Step 2: Convert to fraction form
    68,668.50/144,718.50 = 144,718.50/x
  3. Step 3: Cross multiply
    68,668.50x = 144,718.50 × 144,718.50
  4. Step 4: Simplify right side
    68,668.50x = 20,943,444,242.25
  5. Step 5: Solve for x
    x = 20,943,444,242.25/68,668.50
  6. Step 6: Final answer
    x = 304,993.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.