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Finding the Third Proportional to 111,359.50 and 172,383

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Solution

The third proportional to 111,359.50 and 172,383 is: 266,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,359.50 : 172,383 = 172,383 : x
  2. Step 2: Convert to fraction form
    111,359.50/172,383 = 172,383/x
  3. Step 3: Cross multiply
    111,359.50x = 172,383 × 172,383
  4. Step 4: Simplify right side
    111,359.50x = 29,715,898,689
  5. Step 5: Solve for x
    x = 29,715,898,689/111,359.50
  6. Step 6: Final answer
    x = 266,846.55

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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.