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Finding the Third Proportional to 40,735 and 85,194

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Solution

The third proportional to 40,735 and 85,194 is: 178,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,735 : 85,194 = 85,194 : x
  2. Step 2: Convert to fraction form
    40,735/85,194 = 85,194/x
  3. Step 3: Cross multiply
    40,735x = 85,194 × 85,194
  4. Step 4: Simplify right side
    40,735x = 7,258,017,636
  5. Step 5: Solve for x
    x = 7,258,017,636/40,735
  6. Step 6: Final answer
    x = 178,176.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.