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Finding the Third Proportional to 113,661.35 and 165,494.39

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Solution

The third proportional to 113,661.35 and 165,494.39 is: 240,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,661.35 : 165,494.39 = 165,494.39 : x
  2. Step 2: Convert to fraction form
    113,661.35/165,494.39 = 165,494.39/x
  3. Step 3: Cross multiply
    113,661.35x = 165,494.39 × 165,494.39
  4. Step 4: Simplify right side
    113,661.35x = 27,388,393,328.34
  5. Step 5: Solve for x
    x = 27,388,393,328.34/113,661.35
  6. Step 6: Final answer
    x = 240,964.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.