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Finding the Third Proportional to 108,855 and 164,925

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Solution

The third proportional to 108,855 and 164,925 is: 249,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,855 : 164,925 = 164,925 : x
  2. Step 2: Convert to fraction form
    108,855/164,925 = 164,925/x
  3. Step 3: Cross multiply
    108,855x = 164,925 × 164,925
  4. Step 4: Simplify right side
    108,855x = 27,200,255,625
  5. Step 5: Solve for x
    x = 27,200,255,625/108,855
  6. Step 6: Final answer
    x = 249,876.03

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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.