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Finding the Third Proportional to 108,904 and 164,999

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Solution

The third proportional to 108,904 and 164,999 is: 249,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,904 : 164,999 = 164,999 : x
  2. Step 2: Convert to fraction form
    108,904/164,999 = 164,999/x
  3. Step 3: Cross multiply
    108,904x = 164,999 × 164,999
  4. Step 4: Simplify right side
    108,904x = 27,224,670,001
  5. Step 5: Solve for x
    x = 27,224,670,001/108,904
  6. Step 6: Final answer
    x = 249,987.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.