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Finding the Third Proportional to 104,121 and 228,114

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Solution

The third proportional to 104,121 and 228,114 is: 499,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,121 : 228,114 = 228,114 : x
  2. Step 2: Convert to fraction form
    104,121/228,114 = 228,114/x
  3. Step 3: Cross multiply
    104,121x = 228,114 × 228,114
  4. Step 4: Simplify right side
    104,121x = 52,035,996,996
  5. Step 5: Solve for x
    x = 52,035,996,996/104,121
  6. Step 6: Final answer
    x = 499,764.67

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Why These Related Problems?

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