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Finding the Third Proportional to 113,013 and 237,663

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Solution

The third proportional to 113,013 and 237,663 is: 499,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,013 : 237,663 = 237,663 : x
  2. Step 2: Convert to fraction form
    113,013/237,663 = 237,663/x
  3. Step 3: Cross multiply
    113,013x = 237,663 × 237,663
  4. Step 4: Simplify right side
    113,013x = 56,483,701,569
  5. Step 5: Solve for x
    x = 56,483,701,569/113,013
  6. Step 6: Final answer
    x = 499,798.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.