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Finding the Third Proportional to 62,820 and 136,544

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Solution

The third proportional to 62,820 and 136,544 is: 296,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,820 : 136,544 = 136,544 : x
  2. Step 2: Convert to fraction form
    62,820/136,544 = 136,544/x
  3. Step 3: Cross multiply
    62,820x = 136,544 × 136,544
  4. Step 4: Simplify right side
    62,820x = 18,644,263,936
  5. Step 5: Solve for x
    x = 18,644,263,936/62,820
  6. Step 6: Final answer
    x = 296,788.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.