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Finding the Third Proportional to 53,578 and 79,272

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Solution

The third proportional to 53,578 and 79,272 is: 117,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,578 : 79,272 = 79,272 : x
  2. Step 2: Convert to fraction form
    53,578/79,272 = 79,272/x
  3. Step 3: Cross multiply
    53,578x = 79,272 × 79,272
  4. Step 4: Simplify right side
    53,578x = 6,284,049,984
  5. Step 5: Solve for x
    x = 6,284,049,984/53,578
  6. Step 6: Final answer
    x = 117,287.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.