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Finding the Third Proportional to 59,104.69 and 128,256.33

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Solution

The third proportional to 59,104.69 and 128,256.33 is: 278,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,104.69 : 128,256.33 = 128,256.33 : x
  2. Step 2: Convert to fraction form
    59,104.69/128,256.33 = 128,256.33/x
  3. Step 3: Cross multiply
    59,104.69x = 128,256.33 × 128,256.33
  4. Step 4: Simplify right side
    59,104.69x = 16,449,685,704.11
  5. Step 5: Solve for x
    x = 16,449,685,704.11/59,104.69
  6. Step 6: Final answer
    x = 278,314.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.