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Finding the Third Proportional to 78,867 and 171,046

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Solution

The third proportional to 78,867 and 171,046 is: 370,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867 : 171,046 = 171,046 : x
  2. Step 2: Convert to fraction form
    78,867/171,046 = 171,046/x
  3. Step 3: Cross multiply
    78,867x = 171,046 × 171,046
  4. Step 4: Simplify right side
    78,867x = 29,256,734,116
  5. Step 5: Solve for x
    x = 29,256,734,116/78,867
  6. Step 6: Final answer
    x = 370,962.94

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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.