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Finding the Third Proportional to 69,721.50 and 152,749.50

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Solution

The third proportional to 69,721.50 and 152,749.50 is: 334,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,721.50 : 152,749.50 = 152,749.50 : x
  2. Step 2: Convert to fraction form
    69,721.50/152,749.50 = 152,749.50/x
  3. Step 3: Cross multiply
    69,721.50x = 152,749.50 × 152,749.50
  4. Step 4: Simplify right side
    69,721.50x = 23,332,409,750.25
  5. Step 5: Solve for x
    x = 23,332,409,750.25/69,721.50
  6. Step 6: Final answer
    x = 334,651.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.