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Finding the Third Proportional to 53,568 and 80,748

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Solution

The third proportional to 53,568 and 80,748 is: 121,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,568 : 80,748 = 80,748 : x
  2. Step 2: Convert to fraction form
    53,568/80,748 = 80,748/x
  3. Step 3: Cross multiply
    53,568x = 80,748 × 80,748
  4. Step 4: Simplify right side
    53,568x = 6,520,239,504
  5. Step 5: Solve for x
    x = 6,520,239,504/53,568
  6. Step 6: Final answer
    x = 121,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.