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Finding the Third Proportional to 112,661 and 241,313

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Solution

The third proportional to 112,661 and 241,313 is: 516,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,661 : 241,313 = 241,313 : x
  2. Step 2: Convert to fraction form
    112,661/241,313 = 241,313/x
  3. Step 3: Cross multiply
    112,661x = 241,313 × 241,313
  4. Step 4: Simplify right side
    112,661x = 58,231,963,969
  5. Step 5: Solve for x
    x = 58,231,963,969/112,661
  6. Step 6: Final answer
    x = 516,877.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.