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Finding the Third Proportional to 111,926 and 173,562

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Solution

The third proportional to 111,926 and 173,562 is: 269,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,926 : 173,562 = 173,562 : x
  2. Step 2: Convert to fraction form
    111,926/173,562 = 173,562/x
  3. Step 3: Cross multiply
    111,926x = 173,562 × 173,562
  4. Step 4: Simplify right side
    111,926x = 30,123,767,844
  5. Step 5: Solve for x
    x = 30,123,767,844/111,926
  6. Step 6: Final answer
    x = 269,140.04

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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.