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Finding the Third Proportional to 104,519 and 229,054

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Solution

The third proportional to 104,519 and 229,054 is: 501,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,519 : 229,054 = 229,054 : x
  2. Step 2: Convert to fraction form
    104,519/229,054 = 229,054/x
  3. Step 3: Cross multiply
    104,519x = 229,054 × 229,054
  4. Step 4: Simplify right side
    104,519x = 52,465,734,916
  5. Step 5: Solve for x
    x = 52,465,734,916/104,519
  6. Step 6: Final answer
    x = 501,973.18

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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.