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Finding the Third Proportional to 60,033.75 and 129,378

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Solution

The third proportional to 60,033.75 and 129,378 is: 278,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,033.75 : 129,378 = 129,378 : x
  2. Step 2: Convert to fraction form
    60,033.75/129,378 = 129,378/x
  3. Step 3: Cross multiply
    60,033.75x = 129,378 × 129,378
  4. Step 4: Simplify right side
    60,033.75x = 16,738,666,884
  5. Step 5: Solve for x
    x = 16,738,666,884/60,033.75
  6. Step 6: Final answer
    x = 278,820.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.