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Finding the Third Proportional to 26,509 and 58,122

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Solution

The third proportional to 26,509 and 58,122 is: 127,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509 : 58,122 = 58,122 : x
  2. Step 2: Convert to fraction form
    26,509/58,122 = 58,122/x
  3. Step 3: Cross multiply
    26,509x = 58,122 × 58,122
  4. Step 4: Simplify right side
    26,509x = 3,378,166,884
  5. Step 5: Solve for x
    x = 3,378,166,884/26,509
  6. Step 6: Final answer
    x = 127,434.72

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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.