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Finding the Third Proportional to 38,567 and 84,139

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Solution

The third proportional to 38,567 and 84,139 is: 183,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567 : 84,139 = 84,139 : x
  2. Step 2: Convert to fraction form
    38,567/84,139 = 84,139/x
  3. Step 3: Cross multiply
    38,567x = 84,139 × 84,139
  4. Step 4: Simplify right side
    38,567x = 7,079,371,321
  5. Step 5: Solve for x
    x = 7,079,371,321/38,567
  6. Step 6: Final answer
    x = 183,560.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.