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Finding the Third Proportional to 111,766 and 242,459

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Solution

The third proportional to 111,766 and 242,459 is: 525,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,766 : 242,459 = 242,459 : x
  2. Step 2: Convert to fraction form
    111,766/242,459 = 242,459/x
  3. Step 3: Cross multiply
    111,766x = 242,459 × 242,459
  4. Step 4: Simplify right side
    111,766x = 58,786,366,681
  5. Step 5: Solve for x
    x = 58,786,366,681/111,766
  6. Step 6: Final answer
    x = 525,977.19

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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.