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Finding the Third Proportional to 111,636 and 242,145

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Solution

The third proportional to 111,636 and 242,145 is: 525,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,636 : 242,145 = 242,145 : x
  2. Step 2: Convert to fraction form
    111,636/242,145 = 242,145/x
  3. Step 3: Cross multiply
    111,636x = 242,145 × 242,145
  4. Step 4: Simplify right side
    111,636x = 58,634,201,025
  5. Step 5: Solve for x
    x = 58,634,201,025/111,636
  6. Step 6: Final answer
    x = 525,226.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.