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Finding the Third Proportional to 61,704 and 134,717

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Solution

The third proportional to 61,704 and 134,717 is: 294,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,704 : 134,717 = 134,717 : x
  2. Step 2: Convert to fraction form
    61,704/134,717 = 134,717/x
  3. Step 3: Cross multiply
    61,704x = 134,717 × 134,717
  4. Step 4: Simplify right side
    61,704x = 18,148,670,089
  5. Step 5: Solve for x
    x = 18,148,670,089/61,704
  6. Step 6: Final answer
    x = 294,124.69

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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.