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Finding the Third Proportional to 73,122 and 110,583

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Solution

The third proportional to 73,122 and 110,583 is: 167,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122 : 110,583 = 110,583 : x
  2. Step 2: Convert to fraction form
    73,122/110,583 = 110,583/x
  3. Step 3: Cross multiply
    73,122x = 110,583 × 110,583
  4. Step 4: Simplify right side
    73,122x = 12,228,599,889
  5. Step 5: Solve for x
    x = 12,228,599,889/73,122
  6. Step 6: Final answer
    x = 167,235.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.