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Finding the Third Proportional to 110,974.50 and 173,899.13

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Solution

The third proportional to 110,974.50 and 173,899.13 is: 272,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,974.50 : 173,899.13 = 173,899.13 : x
  2. Step 2: Convert to fraction form
    110,974.50/173,899.13 = 173,899.13/x
  3. Step 3: Cross multiply
    110,974.50x = 173,899.13 × 173,899.13
  4. Step 4: Simplify right side
    110,974.50x = 30,240,905,675.77
  5. Step 5: Solve for x
    x = 30,240,905,675.77/110,974.50
  6. Step 6: Final answer
    x = 272,503.19

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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.