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Finding the Third Proportional to 112,652 and 237,976

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Solution

The third proportional to 112,652 and 237,976 is: 502,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,652 : 237,976 = 237,976 : x
  2. Step 2: Convert to fraction form
    112,652/237,976 = 237,976/x
  3. Step 3: Cross multiply
    112,652x = 237,976 × 237,976
  4. Step 4: Simplify right side
    112,652x = 56,632,576,576
  5. Step 5: Solve for x
    x = 56,632,576,576/112,652
  6. Step 6: Final answer
    x = 502,721.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.