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Finding the Third Proportional to 53,142 and 113,394

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Solution

The third proportional to 53,142 and 113,394 is: 241,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,142 : 113,394 = 113,394 : x
  2. Step 2: Convert to fraction form
    53,142/113,394 = 113,394/x
  3. Step 3: Cross multiply
    53,142x = 113,394 × 113,394
  4. Step 4: Simplify right side
    53,142x = 12,858,199,236
  5. Step 5: Solve for x
    x = 12,858,199,236/53,142
  6. Step 6: Final answer
    x = 241,959.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.