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Finding the Third Proportional to 69,003 and 149,071.50

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Solution

The third proportional to 69,003 and 149,071.50 is: 322,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,003 : 149,071.50 = 149,071.50 : x
  2. Step 2: Convert to fraction form
    69,003/149,071.50 = 149,071.50/x
  3. Step 3: Cross multiply
    69,003x = 149,071.50 × 149,071.50
  4. Step 4: Simplify right side
    69,003x = 22,222,312,112.25
  5. Step 5: Solve for x
    x = 22,222,312,112.25/69,003
  6. Step 6: Final answer
    x = 322,048.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.