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Finding the Third Proportional to 62,414 and 130,014

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Solution

The third proportional to 62,414 and 130,014 is: 270,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,414 : 130,014 = 130,014 : x
  2. Step 2: Convert to fraction form
    62,414/130,014 = 130,014/x
  3. Step 3: Cross multiply
    62,414x = 130,014 × 130,014
  4. Step 4: Simplify right side
    62,414x = 16,903,640,196
  5. Step 5: Solve for x
    x = 16,903,640,196/62,414
  6. Step 6: Final answer
    x = 270,830.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.