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Finding the Third Proportional to 26,360 and 57,200

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Solution

The third proportional to 26,360 and 57,200 is: 124,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,360 : 57,200 = 57,200 : x
  2. Step 2: Convert to fraction form
    26,360/57,200 = 57,200/x
  3. Step 3: Cross multiply
    26,360x = 57,200 × 57,200
  4. Step 4: Simplify right side
    26,360x = 3,271,840,000
  5. Step 5: Solve for x
    x = 3,271,840,000/26,360
  6. Step 6: Final answer
    x = 124,121.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.