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Finding the Third Proportional to 74,750.98 and 165,955.71

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Solution

The third proportional to 74,750.98 and 165,955.71 is: 368,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,750.98 : 165,955.71 = 165,955.71 : x
  2. Step 2: Convert to fraction form
    74,750.98/165,955.71 = 165,955.71/x
  3. Step 3: Cross multiply
    74,750.98x = 165,955.71 × 165,955.71
  4. Step 4: Simplify right side
    74,750.98x = 27,541,297,992.77
  5. Step 5: Solve for x
    x = 27,541,297,992.77/74,750.98
  6. Step 6: Final answer
    x = 368,440.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.