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Finding the Third Proportional to 104,154 and 227,122.50

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Solution

The third proportional to 104,154 and 227,122.50 is: 495,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,154 : 227,122.50 = 227,122.50 : x
  2. Step 2: Convert to fraction form
    104,154/227,122.50 = 227,122.50/x
  3. Step 3: Cross multiply
    104,154x = 227,122.50 × 227,122.50
  4. Step 4: Simplify right side
    104,154x = 51,584,630,006.25
  5. Step 5: Solve for x
    x = 51,584,630,006.25/104,154
  6. Step 6: Final answer
    x = 495,272.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.