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Finding the Third Proportional to 91,953 and 140,602

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Solution

The third proportional to 91,953 and 140,602 is: 214,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,953 : 140,602 = 140,602 : x
  2. Step 2: Convert to fraction form
    91,953/140,602 = 140,602/x
  3. Step 3: Cross multiply
    91,953x = 140,602 × 140,602
  4. Step 4: Simplify right side
    91,953x = 19,768,922,404
  5. Step 5: Solve for x
    x = 19,768,922,404/91,953
  6. Step 6: Final answer
    x = 214,989.42

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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.