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Finding the Third Proportional to 100,054 and 140,720

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Solution

The third proportional to 100,054 and 140,720 is: 197,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,054 : 140,720 = 140,720 : x
  2. Step 2: Convert to fraction form
    100,054/140,720 = 140,720/x
  3. Step 3: Cross multiply
    100,054x = 140,720 × 140,720
  4. Step 4: Simplify right side
    100,054x = 19,802,118,400
  5. Step 5: Solve for x
    x = 19,802,118,400/100,054
  6. Step 6: Final answer
    x = 197,914.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.