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Finding the Third Proportional to 75,106 and 140,750

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Solution

The third proportional to 75,106 and 140,750 is: 263,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106 : 140,750 = 140,750 : x
  2. Step 2: Convert to fraction form
    75,106/140,750 = 140,750/x
  3. Step 3: Cross multiply
    75,106x = 140,750 × 140,750
  4. Step 4: Simplify right side
    75,106x = 19,810,562,500
  5. Step 5: Solve for x
    x = 19,810,562,500/75,106
  6. Step 6: Final answer
    x = 263,768.04

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.