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Finding the Third Proportional to 110,877.19 and 173,733.61

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Solution

The third proportional to 110,877.19 and 173,733.61 is: 272,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,877.19 : 173,733.61 = 173,733.61 : x
  2. Step 2: Convert to fraction form
    110,877.19/173,733.61 = 173,733.61/x
  3. Step 3: Cross multiply
    110,877.19x = 173,733.61 × 173,733.61
  4. Step 4: Simplify right side
    110,877.19x = 30,183,367,026.47
  5. Step 5: Solve for x
    x = 30,183,367,026.47/110,877.19
  6. Step 6: Final answer
    x = 272,223.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.