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Finding the Third Proportional to 111,100 and 172,050

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Solution

The third proportional to 111,100 and 172,050 is: 266,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,100 : 172,050 = 172,050 : x
  2. Step 2: Convert to fraction form
    111,100/172,050 = 172,050/x
  3. Step 3: Cross multiply
    111,100x = 172,050 × 172,050
  4. Step 4: Simplify right side
    111,100x = 29,601,202,500
  5. Step 5: Solve for x
    x = 29,601,202,500/111,100
  6. Step 6: Final answer
    x = 266,437.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.