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Finding the Third Proportional to 62,408 and 136,480

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Solution

The third proportional to 62,408 and 136,480 is: 298,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408 : 136,480 = 136,480 : x
  2. Step 2: Convert to fraction form
    62,408/136,480 = 136,480/x
  3. Step 3: Cross multiply
    62,408x = 136,480 × 136,480
  4. Step 4: Simplify right side
    62,408x = 18,626,790,400
  5. Step 5: Solve for x
    x = 18,626,790,400/62,408
  6. Step 6: Final answer
    x = 298,467.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.