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Finding the Third Proportional to 105,667 and 164,987

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Solution

The third proportional to 105,667 and 164,987 is: 257,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,667 : 164,987 = 164,987 : x
  2. Step 2: Convert to fraction form
    105,667/164,987 = 164,987/x
  3. Step 3: Cross multiply
    105,667x = 164,987 × 164,987
  4. Step 4: Simplify right side
    105,667x = 27,220,710,169
  5. Step 5: Solve for x
    x = 27,220,710,169/105,667
  6. Step 6: Final answer
    x = 257,608.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.