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Finding the Third Proportional to 58,941 and 127,295

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Solution

The third proportional to 58,941 and 127,295 is: 274,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,941 : 127,295 = 127,295 : x
  2. Step 2: Convert to fraction form
    58,941/127,295 = 127,295/x
  3. Step 3: Cross multiply
    58,941x = 127,295 × 127,295
  4. Step 4: Simplify right side
    58,941x = 16,204,017,025
  5. Step 5: Solve for x
    x = 16,204,017,025/58,941
  6. Step 6: Final answer
    x = 274,919.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.