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Finding the Third Proportional to 57,026 and 117,688

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Solution

The third proportional to 57,026 and 117,688 is: 242,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,026 : 117,688 = 117,688 : x
  2. Step 2: Convert to fraction form
    57,026/117,688 = 117,688/x
  3. Step 3: Cross multiply
    57,026x = 117,688 × 117,688
  4. Step 4: Simplify right side
    57,026x = 13,850,465,344
  5. Step 5: Solve for x
    x = 13,850,465,344/57,026
  6. Step 6: Final answer
    x = 242,879.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.