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Finding the Third Proportional to 107,004.96 and 165,917.27

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Solution

The third proportional to 107,004.96 and 165,917.27 is: 257,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,004.96 : 165,917.27 = 165,917.27 : x
  2. Step 2: Convert to fraction form
    107,004.96/165,917.27 = 165,917.27/x
  3. Step 3: Cross multiply
    107,004.96x = 165,917.27 × 165,917.27
  4. Step 4: Simplify right side
    107,004.96x = 27,528,539,680.59
  5. Step 5: Solve for x
    x = 27,528,539,680.59/107,004.96
  6. Step 6: Final answer
    x = 257,264.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.