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Finding the Third Proportional to 111,993.38 and 173,407.13

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Solution

The third proportional to 111,993.38 and 173,407.13 is: 268,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,993.38 : 173,407.13 = 173,407.13 : x
  2. Step 2: Convert to fraction form
    111,993.38/173,407.13 = 173,407.13/x
  3. Step 3: Cross multiply
    111,993.38x = 173,407.13 × 173,407.13
  4. Step 4: Simplify right side
    111,993.38x = 30,070,031,000.77
  5. Step 5: Solve for x
    x = 30,070,031,000.77/111,993.38
  6. Step 6: Final answer
    x = 268,498.30

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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.