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Finding the Third Proportional to 115,819 and 250,091

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Solution

The third proportional to 115,819 and 250,091 is: 540,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,819 : 250,091 = 250,091 : x
  2. Step 2: Convert to fraction form
    115,819/250,091 = 250,091/x
  3. Step 3: Cross multiply
    115,819x = 250,091 × 250,091
  4. Step 4: Simplify right side
    115,819x = 62,545,508,281
  5. Step 5: Solve for x
    x = 62,545,508,281/115,819
  6. Step 6: Final answer
    x = 540,028.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.