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Finding the Third Proportional to 110,399.63 and 165,164.06

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Solution

The third proportional to 110,399.63 and 165,164.06 is: 247,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,399.63 : 165,164.06 = 165,164.06 : x
  2. Step 2: Convert to fraction form
    110,399.63/165,164.06 = 165,164.06/x
  3. Step 3: Cross multiply
    110,399.63x = 165,164.06 × 165,164.06
  4. Step 4: Simplify right side
    110,399.63x = 27,279,167,541.50
  5. Step 5: Solve for x
    x = 27,279,167,541.50/110,399.63
  6. Step 6: Final answer
    x = 247,094.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.