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Finding the Third Proportional to 115,922 and 254,010

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Solution

The third proportional to 115,922 and 254,010 is: 556,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,922 : 254,010 = 254,010 : x
  2. Step 2: Convert to fraction form
    115,922/254,010 = 254,010/x
  3. Step 3: Cross multiply
    115,922x = 254,010 × 254,010
  4. Step 4: Simplify right side
    115,922x = 64,521,080,100
  5. Step 5: Solve for x
    x = 64,521,080,100/115,922
  6. Step 6: Final answer
    x = 556,590.47

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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.