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Finding the Third Proportional to 100,025.50 and 236,117.50

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Solution

The third proportional to 100,025.50 and 236,117.50 is: 557,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025.50 : 236,117.50 = 236,117.50 : x
  2. Step 2: Convert to fraction form
    100,025.50/236,117.50 = 236,117.50/x
  3. Step 3: Cross multiply
    100,025.50x = 236,117.50 × 236,117.50
  4. Step 4: Simplify right side
    100,025.50x = 55,751,473,806.25
  5. Step 5: Solve for x
    x = 55,751,473,806.25/100,025.50
  6. Step 6: Final answer
    x = 557,372.61

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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.