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Finding the Third Proportional to 94,262 and 195,085

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Solution

The third proportional to 94,262 and 195,085 is: 403,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,262 : 195,085 = 195,085 : x
  2. Step 2: Convert to fraction form
    94,262/195,085 = 195,085/x
  3. Step 3: Cross multiply
    94,262x = 195,085 × 195,085
  4. Step 4: Simplify right side
    94,262x = 38,058,157,225
  5. Step 5: Solve for x
    x = 38,058,157,225/94,262
  6. Step 6: Final answer
    x = 403,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.