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Finding the Third Proportional to 69,496.50 and 144,870

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Solution

The third proportional to 69,496.50 and 144,870 is: 301,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,496.50 : 144,870 = 144,870 : x
  2. Step 2: Convert to fraction form
    69,496.50/144,870 = 144,870/x
  3. Step 3: Cross multiply
    69,496.50x = 144,870 × 144,870
  4. Step 4: Simplify right side
    69,496.50x = 20,987,316,900
  5. Step 5: Solve for x
    x = 20,987,316,900/69,496.50
  6. Step 6: Final answer
    x = 301,990.99

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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.