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Finding the Third Proportional to 100,014.75 and 236,094.75

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Solution

The third proportional to 100,014.75 and 236,094.75 is: 557,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014.75 : 236,094.75 = 236,094.75 : x
  2. Step 2: Convert to fraction form
    100,014.75/236,094.75 = 236,094.75/x
  3. Step 3: Cross multiply
    100,014.75x = 236,094.75 × 236,094.75
  4. Step 4: Simplify right side
    100,014.75x = 55,740,730,977.56
  5. Step 5: Solve for x
    x = 55,740,730,977.56/100,014.75
  6. Step 6: Final answer
    x = 557,325.10

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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.