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Finding the Third Proportional to 34,141.50 and 69,970.50

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Solution

The third proportional to 34,141.50 and 69,970.50 is: 143,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.50 : 69,970.50 = 69,970.50 : x
  2. Step 2: Convert to fraction form
    34,141.50/69,970.50 = 69,970.50/x
  3. Step 3: Cross multiply
    34,141.50x = 69,970.50 × 69,970.50
  4. Step 4: Simplify right side
    34,141.50x = 4,895,870,870.25
  5. Step 5: Solve for x
    x = 4,895,870,870.25/34,141.50
  6. Step 6: Final answer
    x = 143,399.41

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.