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Finding the Third Proportional to 53,721 and 117,283

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Solution

The third proportional to 53,721 and 117,283 is: 256,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,721 : 117,283 = 117,283 : x
  2. Step 2: Convert to fraction form
    53,721/117,283 = 117,283/x
  3. Step 3: Cross multiply
    53,721x = 117,283 × 117,283
  4. Step 4: Simplify right side
    53,721x = 13,755,302,089
  5. Step 5: Solve for x
    x = 13,755,302,089/53,721
  6. Step 6: Final answer
    x = 256,050.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.