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Finding the Third Proportional to 91,741.75 and 140,348.25

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Solution

The third proportional to 91,741.75 and 140,348.25 is: 214,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,741.75 : 140,348.25 = 140,348.25 : x
  2. Step 2: Convert to fraction form
    91,741.75/140,348.25 = 140,348.25/x
  3. Step 3: Cross multiply
    91,741.75x = 140,348.25 × 140,348.25
  4. Step 4: Simplify right side
    91,741.75x = 19,697,631,278.06
  5. Step 5: Solve for x
    x = 19,697,631,278.06/91,741.75
  6. Step 6: Final answer
    x = 214,707.39

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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.