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Finding the Third Proportional to 53,470 and 117,147

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Solution

The third proportional to 53,470 and 117,147 is: 256,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470 : 117,147 = 117,147 : x
  2. Step 2: Convert to fraction form
    53,470/117,147 = 117,147/x
  3. Step 3: Cross multiply
    53,470x = 117,147 × 117,147
  4. Step 4: Simplify right side
    53,470x = 13,723,419,609
  5. Step 5: Solve for x
    x = 13,723,419,609/53,470
  6. Step 6: Final answer
    x = 256,656.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.