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Finding the Third Proportional to 108,294 and 165,513

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Solution

The third proportional to 108,294 and 165,513 is: 252,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,294 : 165,513 = 165,513 : x
  2. Step 2: Convert to fraction form
    108,294/165,513 = 165,513/x
  3. Step 3: Cross multiply
    108,294x = 165,513 × 165,513
  4. Step 4: Simplify right side
    108,294x = 27,394,553,169
  5. Step 5: Solve for x
    x = 27,394,553,169/108,294
  6. Step 6: Final answer
    x = 252,964.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.