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Finding the Third Proportional to 73,554 and 110,307

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Solution

The third proportional to 73,554 and 110,307 is: 165,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,554 : 110,307 = 110,307 : x
  2. Step 2: Convert to fraction form
    73,554/110,307 = 110,307/x
  3. Step 3: Cross multiply
    73,554x = 110,307 × 110,307
  4. Step 4: Simplify right side
    73,554x = 12,167,634,249
  5. Step 5: Solve for x
    x = 12,167,634,249/73,554
  6. Step 6: Final answer
    x = 165,424.51

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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.