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Finding the Third Proportional to 91,140.75 and 135,771.75

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Solution

The third proportional to 91,140.75 and 135,771.75 is: 202,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,140.75 : 135,771.75 = 135,771.75 : x
  2. Step 2: Convert to fraction form
    91,140.75/135,771.75 = 135,771.75/x
  3. Step 3: Cross multiply
    91,140.75x = 135,771.75 × 135,771.75
  4. Step 4: Simplify right side
    91,140.75x = 18,433,968,098.06
  5. Step 5: Solve for x
    x = 18,433,968,098.06/91,140.75
  6. Step 6: Final answer
    x = 202,258.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.