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Finding the Third Proportional to 73,546 and 110,298

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Solution

The third proportional to 73,546 and 110,298 is: 165,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,546 : 110,298 = 110,298 : x
  2. Step 2: Convert to fraction form
    73,546/110,298 = 110,298/x
  3. Step 3: Cross multiply
    73,546x = 110,298 × 110,298
  4. Step 4: Simplify right side
    73,546x = 12,165,648,804
  5. Step 5: Solve for x
    x = 12,165,648,804/73,546
  6. Step 6: Final answer
    x = 165,415.51

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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.