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Finding the Third Proportional to 100,023.75 and 236,117.25

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Solution

The third proportional to 100,023.75 and 236,117.25 is: 557,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023.75 : 236,117.25 = 236,117.25 : x
  2. Step 2: Convert to fraction form
    100,023.75/236,117.25 = 236,117.25/x
  3. Step 3: Cross multiply
    100,023.75x = 236,117.25 × 236,117.25
  4. Step 4: Simplify right side
    100,023.75x = 55,751,355,747.56
  5. Step 5: Solve for x
    x = 55,751,355,747.56/100,023.75
  6. Step 6: Final answer
    x = 557,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.