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Finding the Third Proportional to 45,451.13 and 106,165.69

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Solution

The third proportional to 45,451.13 and 106,165.69 is: 247,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,451.13 : 106,165.69 = 106,165.69 : x
  2. Step 2: Convert to fraction form
    45,451.13/106,165.69 = 106,165.69/x
  3. Step 3: Cross multiply
    45,451.13x = 106,165.69 × 106,165.69
  4. Step 4: Simplify right side
    45,451.13x = 11,271,153,202.35
  5. Step 5: Solve for x
    x = 11,271,153,202.35/45,451.13
  6. Step 6: Final answer
    x = 247,984.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.