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Finding the Third Proportional to 26,061 and 56,175

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Solution

The third proportional to 26,061 and 56,175 is: 121,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,061 : 56,175 = 56,175 : x
  2. Step 2: Convert to fraction form
    26,061/56,175 = 56,175/x
  3. Step 3: Cross multiply
    26,061x = 56,175 × 56,175
  4. Step 4: Simplify right side
    26,061x = 3,155,630,625
  5. Step 5: Solve for x
    x = 3,155,630,625/26,061
  6. Step 6: Final answer
    x = 121,086.32

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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.