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Finding the Third Proportional to 58,286 and 125,066

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Solution

The third proportional to 58,286 and 125,066 is: 268,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,286 : 125,066 = 125,066 : x
  2. Step 2: Convert to fraction form
    58,286/125,066 = 125,066/x
  3. Step 3: Cross multiply
    58,286x = 125,066 × 125,066
  4. Step 4: Simplify right side
    58,286x = 15,641,504,356
  5. Step 5: Solve for x
    x = 15,641,504,356/58,286
  6. Step 6: Final answer
    x = 268,357.83

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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.