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Finding the Third Proportional to 105,905.25 and 165,110

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Solution

The third proportional to 105,905.25 and 165,110 is: 257,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905.25 : 165,110 = 165,110 : x
  2. Step 2: Convert to fraction form
    105,905.25/165,110 = 165,110/x
  3. Step 3: Cross multiply
    105,905.25x = 165,110 × 165,110
  4. Step 4: Simplify right side
    105,905.25x = 27,261,312,100
  5. Step 5: Solve for x
    x = 27,261,312,100/105,905.25
  6. Step 6: Final answer
    x = 257,412.28

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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.