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Finding the Third Proportional to 61,774 and 134,878

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Solution

The third proportional to 61,774 and 134,878 is: 294,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,774 : 134,878 = 134,878 : x
  2. Step 2: Convert to fraction form
    61,774/134,878 = 134,878/x
  3. Step 3: Cross multiply
    61,774x = 134,878 × 134,878
  4. Step 4: Simplify right side
    61,774x = 18,192,074,884
  5. Step 5: Solve for x
    x = 18,192,074,884/61,774
  6. Step 6: Final answer
    x = 294,494.04

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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.