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Finding the Third Proportional to 111,200 and 163,859

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Solution

The third proportional to 111,200 and 163,859 is: 241,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,200 : 163,859 = 163,859 : x
  2. Step 2: Convert to fraction form
    111,200/163,859 = 163,859/x
  3. Step 3: Cross multiply
    111,200x = 163,859 × 163,859
  4. Step 4: Simplify right side
    111,200x = 26,849,771,881
  5. Step 5: Solve for x
    x = 26,849,771,881/111,200
  6. Step 6: Final answer
    x = 241,454.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.