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Finding the Third Proportional to 108,833 and 164,893

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Solution

The third proportional to 108,833 and 164,893 is: 249,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,833 : 164,893 = 164,893 : x
  2. Step 2: Convert to fraction form
    108,833/164,893 = 164,893/x
  3. Step 3: Cross multiply
    108,833x = 164,893 × 164,893
  4. Step 4: Simplify right side
    108,833x = 27,189,701,449
  5. Step 5: Solve for x
    x = 27,189,701,449/108,833
  6. Step 6: Final answer
    x = 249,829.57

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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.