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Finding the Third Proportional to 91,852 and 140,504

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Solution

The third proportional to 91,852 and 140,504 is: 214,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,852 : 140,504 = 140,504 : x
  2. Step 2: Convert to fraction form
    91,852/140,504 = 140,504/x
  3. Step 3: Cross multiply
    91,852x = 140,504 × 140,504
  4. Step 4: Simplify right side
    91,852x = 19,741,374,016
  5. Step 5: Solve for x
    x = 19,741,374,016/91,852
  6. Step 6: Final answer
    x = 214,925.90

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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.