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Finding the Third Proportional to 38,968 and 83,260

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Solution

The third proportional to 38,968 and 83,260 is: 177,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,968 : 83,260 = 83,260 : x
  2. Step 2: Convert to fraction form
    38,968/83,260 = 83,260/x
  3. Step 3: Cross multiply
    38,968x = 83,260 × 83,260
  4. Step 4: Simplify right side
    38,968x = 6,932,227,600
  5. Step 5: Solve for x
    x = 6,932,227,600/38,968
  6. Step 6: Final answer
    x = 177,895.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.