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Finding the Third Proportional to 114,183 and 162,292.50

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Solution

The third proportional to 114,183 and 162,292.50 is: 230,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,183 : 162,292.50 = 162,292.50 : x
  2. Step 2: Convert to fraction form
    114,183/162,292.50 = 162,292.50/x
  3. Step 3: Cross multiply
    114,183x = 162,292.50 × 162,292.50
  4. Step 4: Simplify right side
    114,183x = 26,338,855,556.25
  5. Step 5: Solve for x
    x = 26,338,855,556.25/114,183
  6. Step 6: Final answer
    x = 230,672.30

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.