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Finding the Third Proportional to 131,044 and 179,323

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Solution

The third proportional to 131,044 and 179,323 is: 245,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,044 : 179,323 = 179,323 : x
  2. Step 2: Convert to fraction form
    131,044/179,323 = 179,323/x
  3. Step 3: Cross multiply
    131,044x = 179,323 × 179,323
  4. Step 4: Simplify right side
    131,044x = 32,156,738,329
  5. Step 5: Solve for x
    x = 32,156,738,329/131,044
  6. Step 6: Final answer
    x = 245,388.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.