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Finding the Third Proportional to 69,799.50 and 145,498.50

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Solution

The third proportional to 69,799.50 and 145,498.50 is: 303,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,799.50 : 145,498.50 = 145,498.50 : x
  2. Step 2: Convert to fraction form
    69,799.50/145,498.50 = 145,498.50/x
  3. Step 3: Cross multiply
    69,799.50x = 145,498.50 × 145,498.50
  4. Step 4: Simplify right side
    69,799.50x = 21,169,813,502.25
  5. Step 5: Solve for x
    x = 21,169,813,502.25/69,799.50
  6. Step 6: Final answer
    x = 303,294.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.