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Finding the Third Proportional to 107,489.25 and 165,364.88

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Solution

The third proportional to 107,489.25 and 165,364.88 is: 254,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,489.25 : 165,364.88 = 165,364.88 : x
  2. Step 2: Convert to fraction form
    107,489.25/165,364.88 = 165,364.88/x
  3. Step 3: Cross multiply
    107,489.25x = 165,364.88 × 165,364.88
  4. Step 4: Simplify right side
    107,489.25x = 27,345,541,883.77
  5. Step 5: Solve for x
    x = 27,345,541,883.77/107,489.25
  6. Step 6: Final answer
    x = 254,402.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.