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Finding the Third Proportional to 69,039 and 143,362.50

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Solution

The third proportional to 69,039 and 143,362.50 is: 297,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,039 : 143,362.50 = 143,362.50 : x
  2. Step 2: Convert to fraction form
    69,039/143,362.50 = 143,362.50/x
  3. Step 3: Cross multiply
    69,039x = 143,362.50 × 143,362.50
  4. Step 4: Simplify right side
    69,039x = 20,552,806,406.25
  5. Step 5: Solve for x
    x = 20,552,806,406.25/69,039
  6. Step 6: Final answer
    x = 297,698.50

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Why These Related Problems?

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