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Finding the Third Proportional to 111,108 and 172,062

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Solution

The third proportional to 111,108 and 172,062 is: 266,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,108 : 172,062 = 172,062 : x
  2. Step 2: Convert to fraction form
    111,108/172,062 = 172,062/x
  3. Step 3: Cross multiply
    111,108x = 172,062 × 172,062
  4. Step 4: Simplify right side
    111,108x = 29,605,331,844
  5. Step 5: Solve for x
    x = 29,605,331,844/111,108
  6. Step 6: Final answer
    x = 266,455.45

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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.