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Finding the Third Proportional to 52,948 and 126,394

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Solution

The third proportional to 52,948 and 126,394 is: 301,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,948 : 126,394 = 126,394 : x
  2. Step 2: Convert to fraction form
    52,948/126,394 = 126,394/x
  3. Step 3: Cross multiply
    52,948x = 126,394 × 126,394
  4. Step 4: Simplify right side
    52,948x = 15,975,443,236
  5. Step 5: Solve for x
    x = 15,975,443,236/52,948
  6. Step 6: Final answer
    x = 301,719.48

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.