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Finding the Third Proportional to 73,122 and 110,222

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Solution

The third proportional to 73,122 and 110,222 is: 166,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122 : 110,222 = 110,222 : x
  2. Step 2: Convert to fraction form
    73,122/110,222 = 110,222/x
  3. Step 3: Cross multiply
    73,122x = 110,222 × 110,222
  4. Step 4: Simplify right side
    73,122x = 12,148,889,284
  5. Step 5: Solve for x
    x = 12,148,889,284/73,122
  6. Step 6: Final answer
    x = 166,145.47

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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.