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Finding the Third Proportional to 108,007 and 235,667

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Solution

The third proportional to 108,007 and 235,667 is: 514,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,007 : 235,667 = 235,667 : x
  2. Step 2: Convert to fraction form
    108,007/235,667 = 235,667/x
  3. Step 3: Cross multiply
    108,007x = 235,667 × 235,667
  4. Step 4: Simplify right side
    108,007x = 55,538,934,889
  5. Step 5: Solve for x
    x = 55,538,934,889/108,007
  6. Step 6: Final answer
    x = 514,216.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.