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Finding the Third Proportional to 53,574 and 79,266

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Solution

The third proportional to 53,574 and 79,266 is: 117,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574 : 79,266 = 79,266 : x
  2. Step 2: Convert to fraction form
    53,574/79,266 = 79,266/x
  3. Step 3: Cross multiply
    53,574x = 79,266 × 79,266
  4. Step 4: Simplify right side
    53,574x = 6,283,098,756
  5. Step 5: Solve for x
    x = 6,283,098,756/53,574
  6. Step 6: Final answer
    x = 117,278.88

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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.