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Finding the Third Proportional to 110,379.75 and 174,898.13

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Solution

The third proportional to 110,379.75 and 174,898.13 is: 277,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,379.75 : 174,898.13 = 174,898.13 : x
  2. Step 2: Convert to fraction form
    110,379.75/174,898.13 = 174,898.13/x
  3. Step 3: Cross multiply
    110,379.75x = 174,898.13 × 174,898.13
  4. Step 4: Simplify right side
    110,379.75x = 30,589,354,128.52
  5. Step 5: Solve for x
    x = 30,589,354,128.52/110,379.75
  6. Step 6: Final answer
    x = 277,128.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.