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Finding the Third Proportional to 60,039 and 129,306

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Solution

The third proportional to 60,039 and 129,306 is: 278,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,039 : 129,306 = 129,306 : x
  2. Step 2: Convert to fraction form
    60,039/129,306 = 129,306/x
  3. Step 3: Cross multiply
    60,039x = 129,306 × 129,306
  4. Step 4: Simplify right side
    60,039x = 16,720,041,636
  5. Step 5: Solve for x
    x = 16,720,041,636/60,039
  6. Step 6: Final answer
    x = 278,486.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.