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Finding the Third Proportional to 50,437.69 and 113,869.23

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Solution

The third proportional to 50,437.69 and 113,869.23 is: 257,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437.69 : 113,869.23 = 113,869.23 : x
  2. Step 2: Convert to fraction form
    50,437.69/113,869.23 = 113,869.23/x
  3. Step 3: Cross multiply
    50,437.69x = 113,869.23 × 113,869.23
  4. Step 4: Simplify right side
    50,437.69x = 12,966,201,647.55
  5. Step 5: Solve for x
    x = 12,966,201,647.55/50,437.69
  6. Step 6: Final answer
    x = 257,073.67

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.