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Finding the Third Proportional to 108,007 and 163,497

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Solution

The third proportional to 108,007 and 163,497 is: 247,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,007 : 163,497 = 163,497 : x
  2. Step 2: Convert to fraction form
    108,007/163,497 = 163,497/x
  3. Step 3: Cross multiply
    108,007x = 163,497 × 163,497
  4. Step 4: Simplify right side
    108,007x = 26,731,269,009
  5. Step 5: Solve for x
    x = 26,731,269,009/108,007
  6. Step 6: Final answer
    x = 247,495.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.