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Finding the Third Proportional to 26,140 and 57,180

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Solution

The third proportional to 26,140 and 57,180 is: 125,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,140 : 57,180 = 57,180 : x
  2. Step 2: Convert to fraction form
    26,140/57,180 = 57,180/x
  3. Step 3: Cross multiply
    26,140x = 57,180 × 57,180
  4. Step 4: Simplify right side
    26,140x = 3,269,552,400
  5. Step 5: Solve for x
    x = 3,269,552,400/26,140
  6. Step 6: Final answer
    x = 125,078.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.