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Finding the Third Proportional to 61,791 and 134,907

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Solution

The third proportional to 61,791 and 134,907 is: 294,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,791 : 134,907 = 134,907 : x
  2. Step 2: Convert to fraction form
    61,791/134,907 = 134,907/x
  3. Step 3: Cross multiply
    61,791x = 134,907 × 134,907
  4. Step 4: Simplify right side
    61,791x = 18,199,898,649
  5. Step 5: Solve for x
    x = 18,199,898,649/61,791
  6. Step 6: Final answer
    x = 294,539.64

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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.