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Finding the Third Proportional to 60,138 and 128,620

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Solution

The third proportional to 60,138 and 128,620 is: 275,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,138 : 128,620 = 128,620 : x
  2. Step 2: Convert to fraction form
    60,138/128,620 = 128,620/x
  3. Step 3: Cross multiply
    60,138x = 128,620 × 128,620
  4. Step 4: Simplify right side
    60,138x = 16,543,104,400
  5. Step 5: Solve for x
    x = 16,543,104,400/60,138
  6. Step 6: Final answer
    x = 275,085.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.