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Finding the Third Proportional to 113,874 and 242,532

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Solution

The third proportional to 113,874 and 242,532 is: 516,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874 : 242,532 = 242,532 : x
  2. Step 2: Convert to fraction form
    113,874/242,532 = 242,532/x
  3. Step 3: Cross multiply
    113,874x = 242,532 × 242,532
  4. Step 4: Simplify right side
    113,874x = 58,821,771,024
  5. Step 5: Solve for x
    x = 58,821,771,024/113,874
  6. Step 6: Final answer
    x = 516,551.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.