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Finding the Third Proportional to 111,380 and 160,925

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Solution

The third proportional to 111,380 and 160,925 is: 232,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,380 : 160,925 = 160,925 : x
  2. Step 2: Convert to fraction form
    111,380/160,925 = 160,925/x
  3. Step 3: Cross multiply
    111,380x = 160,925 × 160,925
  4. Step 4: Simplify right side
    111,380x = 25,896,855,625
  5. Step 5: Solve for x
    x = 25,896,855,625/111,380
  6. Step 6: Final answer
    x = 232,509.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.