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Finding the Third Proportional to 78,823 and 171,042

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Solution

The third proportional to 78,823 and 171,042 is: 371,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823 : 171,042 = 171,042 : x
  2. Step 2: Convert to fraction form
    78,823/171,042 = 171,042/x
  3. Step 3: Cross multiply
    78,823x = 171,042 × 171,042
  4. Step 4: Simplify right side
    78,823x = 29,255,365,764
  5. Step 5: Solve for x
    x = 29,255,365,764/78,823
  6. Step 6: Final answer
    x = 371,152.66

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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.