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Finding the Third Proportional to 75,324 and 110,682

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Solution

The third proportional to 75,324 and 110,682 is: 162,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324 : 110,682 = 110,682 : x
  2. Step 2: Convert to fraction form
    75,324/110,682 = 110,682/x
  3. Step 3: Cross multiply
    75,324x = 110,682 × 110,682
  4. Step 4: Simplify right side
    75,324x = 12,250,505,124
  5. Step 5: Solve for x
    x = 12,250,505,124/75,324
  6. Step 6: Final answer
    x = 162,637.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.