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Finding the Third Proportional to 62,406 and 134,653

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Solution

The third proportional to 62,406 and 134,653 is: 290,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,406 : 134,653 = 134,653 : x
  2. Step 2: Convert to fraction form
    62,406/134,653 = 134,653/x
  3. Step 3: Cross multiply
    62,406x = 134,653 × 134,653
  4. Step 4: Simplify right side
    62,406x = 18,131,430,409
  5. Step 5: Solve for x
    x = 18,131,430,409/62,406
  6. Step 6: Final answer
    x = 290,539.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.