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Finding the Third Proportional to 26,120 and 55,468

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Solution

The third proportional to 26,120 and 55,468 is: 117,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,120 : 55,468 = 55,468 : x
  2. Step 2: Convert to fraction form
    26,120/55,468 = 55,468/x
  3. Step 3: Cross multiply
    26,120x = 55,468 × 55,468
  4. Step 4: Simplify right side
    26,120x = 3,076,699,024
  5. Step 5: Solve for x
    x = 3,076,699,024/26,120
  6. Step 6: Final answer
    x = 117,790.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.