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Finding the Third Proportional to 100,014 and 236,091

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Solution

The third proportional to 100,014 and 236,091 is: 557,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014 : 236,091 = 236,091 : x
  2. Step 2: Convert to fraction form
    100,014/236,091 = 236,091/x
  3. Step 3: Cross multiply
    100,014x = 236,091 × 236,091
  4. Step 4: Simplify right side
    100,014x = 55,738,960,281
  5. Step 5: Solve for x
    x = 55,738,960,281/100,014
  6. Step 6: Final answer
    x = 557,311.58

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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.