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Finding the Third Proportional to 77,953.50 and 125,544

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Solution

The third proportional to 77,953.50 and 125,544 is: 202,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,953.50 : 125,544 = 125,544 : x
  2. Step 2: Convert to fraction form
    77,953.50/125,544 = 125,544/x
  3. Step 3: Cross multiply
    77,953.50x = 125,544 × 125,544
  4. Step 4: Simplify right side
    77,953.50x = 15,761,295,936
  5. Step 5: Solve for x
    x = 15,761,295,936/77,953.50
  6. Step 6: Final answer
    x = 202,188.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.