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Finding the Third Proportional to 62,852 and 136,780

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Solution

The third proportional to 62,852 and 136,780 is: 297,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,852 : 136,780 = 136,780 : x
  2. Step 2: Convert to fraction form
    62,852/136,780 = 136,780/x
  3. Step 3: Cross multiply
    62,852x = 136,780 × 136,780
  4. Step 4: Simplify right side
    62,852x = 18,708,768,400
  5. Step 5: Solve for x
    x = 18,708,768,400/62,852
  6. Step 6: Final answer
    x = 297,663.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.