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Finding the Third Proportional to 103,722 and 160,190

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Solution

The third proportional to 103,722 and 160,190 is: 247,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,722 : 160,190 = 160,190 : x
  2. Step 2: Convert to fraction form
    103,722/160,190 = 160,190/x
  3. Step 3: Cross multiply
    103,722x = 160,190 × 160,190
  4. Step 4: Simplify right side
    103,722x = 25,660,836,100
  5. Step 5: Solve for x
    x = 25,660,836,100/103,722
  6. Step 6: Final answer
    x = 247,400.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.