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Finding the Third Proportional to 103,680 and 160,100

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Solution

The third proportional to 103,680 and 160,100 is: 247,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 160,100 = 160,100 : x
  2. Step 2: Convert to fraction form
    103,680/160,100 = 160,100/x
  3. Step 3: Cross multiply
    103,680x = 160,100 × 160,100
  4. Step 4: Simplify right side
    103,680x = 25,632,010,000
  5. Step 5: Solve for x
    x = 25,632,010,000/103,680
  6. Step 6: Final answer
    x = 247,222.32

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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.