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Finding the Third Proportional to 50,495 and 106,213

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Solution

The third proportional to 50,495 and 106,213 is: 223,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,495 : 106,213 = 106,213 : x
  2. Step 2: Convert to fraction form
    50,495/106,213 = 106,213/x
  3. Step 3: Cross multiply
    50,495x = 106,213 × 106,213
  4. Step 4: Simplify right side
    50,495x = 11,281,201,369
  5. Step 5: Solve for x
    x = 11,281,201,369/50,495
  6. Step 6: Final answer
    x = 223,412.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.