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Finding the Third Proportional to 103,674 and 165,046

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Solution

The third proportional to 103,674 and 165,046 is: 262,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 165,046 = 165,046 : x
  2. Step 2: Convert to fraction form
    103,674/165,046 = 165,046/x
  3. Step 3: Cross multiply
    103,674x = 165,046 × 165,046
  4. Step 4: Simplify right side
    103,674x = 27,240,182,116
  5. Step 5: Solve for x
    x = 27,240,182,116/103,674
  6. Step 6: Final answer
    x = 262,748.44

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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.