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Finding the Third Proportional to 69,940.50 and 149,695.50

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Solution

The third proportional to 69,940.50 and 149,695.50 is: 320,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,940.50 : 149,695.50 = 149,695.50 : x
  2. Step 2: Convert to fraction form
    69,940.50/149,695.50 = 149,695.50/x
  3. Step 3: Cross multiply
    69,940.50x = 149,695.50 × 149,695.50
  4. Step 4: Simplify right side
    69,940.50x = 22,408,742,720.25
  5. Step 5: Solve for x
    x = 22,408,742,720.25/69,940.50
  6. Step 6: Final answer
    x = 320,397.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.