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Finding the Third Proportional to 26,072 and 57,148

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Solution

The third proportional to 26,072 and 57,148 is: 125,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,072 : 57,148 = 57,148 : x
  2. Step 2: Convert to fraction form
    26,072/57,148 = 57,148/x
  3. Step 3: Cross multiply
    26,072x = 57,148 × 57,148
  4. Step 4: Simplify right side
    26,072x = 3,265,893,904
  5. Step 5: Solve for x
    x = 3,265,893,904/26,072
  6. Step 6: Final answer
    x = 125,264.42

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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.