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Finding the Third Proportional to 38,169 and 84,090

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Solution

The third proportional to 38,169 and 84,090 is: 185,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 84,090 = 84,090 : x
  2. Step 2: Convert to fraction form
    38,169/84,090 = 84,090/x
  3. Step 3: Cross multiply
    38,169x = 84,090 × 84,090
  4. Step 4: Simplify right side
    38,169x = 7,071,128,100
  5. Step 5: Solve for x
    x = 7,071,128,100/38,169
  6. Step 6: Final answer
    x = 185,258.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.