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Finding the Third Proportional to 38,261 and 83,090

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Solution

The third proportional to 38,261 and 83,090 is: 180,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,261 : 83,090 = 83,090 : x
  2. Step 2: Convert to fraction form
    38,261/83,090 = 83,090/x
  3. Step 3: Cross multiply
    38,261x = 83,090 × 83,090
  4. Step 4: Simplify right side
    38,261x = 6,903,948,100
  5. Step 5: Solve for x
    x = 6,903,948,100/38,261
  6. Step 6: Final answer
    x = 180,443.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.