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Finding the Third Proportional to 26,261 and 56,213

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Solution

The third proportional to 26,261 and 56,213 is: 120,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,261 : 56,213 = 56,213 : x
  2. Step 2: Convert to fraction form
    26,261/56,213 = 56,213/x
  3. Step 3: Cross multiply
    26,261x = 56,213 × 56,213
  4. Step 4: Simplify right side
    26,261x = 3,159,901,369
  5. Step 5: Solve for x
    x = 3,159,901,369/26,261
  6. Step 6: Final answer
    x = 120,326.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.