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Finding the Third Proportional to 91,860 and 140,524

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Solution

The third proportional to 91,860 and 140,524 is: 214,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,860 : 140,524 = 140,524 : x
  2. Step 2: Convert to fraction form
    91,860/140,524 = 140,524/x
  3. Step 3: Cross multiply
    91,860x = 140,524 × 140,524
  4. Step 4: Simplify right side
    91,860x = 19,746,994,576
  5. Step 5: Solve for x
    x = 19,746,994,576/91,860
  6. Step 6: Final answer
    x = 214,968.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.