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Finding the Third Proportional to 58,178.25 and 125,262

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Solution

The third proportional to 58,178.25 and 125,262 is: 269,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,178.25 : 125,262 = 125,262 : x
  2. Step 2: Convert to fraction form
    58,178.25/125,262 = 125,262/x
  3. Step 3: Cross multiply
    58,178.25x = 125,262 × 125,262
  4. Step 4: Simplify right side
    58,178.25x = 15,690,568,644
  5. Step 5: Solve for x
    x = 15,690,568,644/58,178.25
  6. Step 6: Final answer
    x = 269,698.19

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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.