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Finding the Third Proportional to 26,234 and 56,655

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Solution

The third proportional to 26,234 and 56,655 is: 122,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234 : 56,655 = 56,655 : x
  2. Step 2: Convert to fraction form
    26,234/56,655 = 56,655/x
  3. Step 3: Cross multiply
    26,234x = 56,655 × 56,655
  4. Step 4: Simplify right side
    26,234x = 3,209,789,025
  5. Step 5: Solve for x
    x = 3,209,789,025/26,234
  6. Step 6: Final answer
    x = 122,352.25

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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.