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Finding the Third Proportional to 115,212 and 250,104

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Solution

The third proportional to 115,212 and 250,104 is: 542,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,212 : 250,104 = 250,104 : x
  2. Step 2: Convert to fraction form
    115,212/250,104 = 250,104/x
  3. Step 3: Cross multiply
    115,212x = 250,104 × 250,104
  4. Step 4: Simplify right side
    115,212x = 62,552,010,816
  5. Step 5: Solve for x
    x = 62,552,010,816/115,212
  6. Step 6: Final answer
    x = 542,929.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.