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Finding the Third Proportional to 78,219 and 160,083

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Solution

The third proportional to 78,219 and 160,083 is: 327,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219 : 160,083 = 160,083 : x
  2. Step 2: Convert to fraction form
    78,219/160,083 = 160,083/x
  3. Step 3: Cross multiply
    78,219x = 160,083 × 160,083
  4. Step 4: Simplify right side
    78,219x = 25,626,566,889
  5. Step 5: Solve for x
    x = 25,626,566,889/78,219
  6. Step 6: Final answer
    x = 327,625.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.