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Finding the Third Proportional to 75,271.50 and 177,682.50

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Solution

The third proportional to 75,271.50 and 177,682.50 is: 419,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.50 : 177,682.50 = 177,682.50 : x
  2. Step 2: Convert to fraction form
    75,271.50/177,682.50 = 177,682.50/x
  3. Step 3: Cross multiply
    75,271.50x = 177,682.50 × 177,682.50
  4. Step 4: Simplify right side
    75,271.50x = 31,571,070,806.25
  5. Step 5: Solve for x
    x = 31,571,070,806.25/75,271.50
  6. Step 6: Final answer
    x = 419,429.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.