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Finding the Third Proportional to 40,265 and 84,202

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Solution

The third proportional to 40,265 and 84,202 is: 176,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,265 : 84,202 = 84,202 : x
  2. Step 2: Convert to fraction form
    40,265/84,202 = 84,202/x
  3. Step 3: Cross multiply
    40,265x = 84,202 × 84,202
  4. Step 4: Simplify right side
    40,265x = 7,089,976,804
  5. Step 5: Solve for x
    x = 7,089,976,804/40,265
  6. Step 6: Final answer
    x = 176,082.87

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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.