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Finding the Third Proportional to 50,140 and 104,412

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Solution

The third proportional to 50,140 and 104,412 is: 217,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,140 : 104,412 = 104,412 : x
  2. Step 2: Convert to fraction form
    50,140/104,412 = 104,412/x
  3. Step 3: Cross multiply
    50,140x = 104,412 × 104,412
  4. Step 4: Simplify right side
    50,140x = 10,901,865,744
  5. Step 5: Solve for x
    x = 10,901,865,744/50,140
  6. Step 6: Final answer
    x = 217,428.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.