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Finding the Third Proportional to 40,223 and 85,785

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Solution

The third proportional to 40,223 and 85,785 is: 182,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,223 : 85,785 = 85,785 : x
  2. Step 2: Convert to fraction form
    40,223/85,785 = 85,785/x
  3. Step 3: Cross multiply
    40,223x = 85,785 × 85,785
  4. Step 4: Simplify right side
    40,223x = 7,359,066,225
  5. Step 5: Solve for x
    x = 7,359,066,225/40,223
  6. Step 6: Final answer
    x = 182,956.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.