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Finding the Third Proportional to 75,089 and 162,571

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Solution

The third proportional to 75,089 and 162,571 is: 351,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,089 : 162,571 = 162,571 : x
  2. Step 2: Convert to fraction form
    75,089/162,571 = 162,571/x
  3. Step 3: Cross multiply
    75,089x = 162,571 × 162,571
  4. Step 4: Simplify right side
    75,089x = 26,429,330,041
  5. Step 5: Solve for x
    x = 26,429,330,041/75,089
  6. Step 6: Final answer
    x = 351,973.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.