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Finding the Third Proportional to 53,046 and 114,394

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Solution

The third proportional to 53,046 and 114,394 is: 246,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046 : 114,394 = 114,394 : x
  2. Step 2: Convert to fraction form
    53,046/114,394 = 114,394/x
  3. Step 3: Cross multiply
    53,046x = 114,394 × 114,394
  4. Step 4: Simplify right side
    53,046x = 13,085,987,236
  5. Step 5: Solve for x
    x = 13,085,987,236/53,046
  6. Step 6: Final answer
    x = 246,691.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.