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Finding the Third Proportional to 126,964 and 186,515

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Solution

The third proportional to 126,964 and 186,515 is: 273,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,964 : 186,515 = 186,515 : x
  2. Step 2: Convert to fraction form
    126,964/186,515 = 186,515/x
  3. Step 3: Cross multiply
    126,964x = 186,515 × 186,515
  4. Step 4: Simplify right side
    126,964x = 34,787,845,225
  5. Step 5: Solve for x
    x = 34,787,845,225/126,964
  6. Step 6: Final answer
    x = 273,997.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.