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Finding the Third Proportional to 113,013 and 241,020

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Solution

The third proportional to 113,013 and 241,020 is: 514,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,013 : 241,020 = 241,020 : x
  2. Step 2: Convert to fraction form
    113,013/241,020 = 241,020/x
  3. Step 3: Cross multiply
    113,013x = 241,020 × 241,020
  4. Step 4: Simplify right side
    113,013x = 58,090,640,400
  5. Step 5: Solve for x
    x = 58,090,640,400/113,013
  6. Step 6: Final answer
    x = 514,017.33

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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.