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Finding the Third Proportional to 103,693 and 165,074

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Solution

The third proportional to 103,693 and 165,074 is: 262,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 165,074 = 165,074 : x
  2. Step 2: Convert to fraction form
    103,693/165,074 = 165,074/x
  3. Step 3: Cross multiply
    103,693x = 165,074 × 165,074
  4. Step 4: Simplify right side
    103,693x = 27,249,425,476
  5. Step 5: Solve for x
    x = 27,249,425,476/103,693
  6. Step 6: Final answer
    x = 262,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.