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Finding the Third Proportional to 26,658 and 57,202

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Solution

The third proportional to 26,658 and 57,202 is: 122,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 57,202 = 57,202 : x
  2. Step 2: Convert to fraction form
    26,658/57,202 = 57,202/x
  3. Step 3: Cross multiply
    26,658x = 57,202 × 57,202
  4. Step 4: Simplify right side
    26,658x = 3,272,068,804
  5. Step 5: Solve for x
    x = 3,272,068,804/26,658
  6. Step 6: Final answer
    x = 122,742.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.