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Finding the Third Proportional to 53,720 and 80,628

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Solution

The third proportional to 53,720 and 80,628 is: 121,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,720 : 80,628 = 80,628 : x
  2. Step 2: Convert to fraction form
    53,720/80,628 = 80,628/x
  3. Step 3: Cross multiply
    53,720x = 80,628 × 80,628
  4. Step 4: Simplify right side
    53,720x = 6,500,874,384
  5. Step 5: Solve for x
    x = 6,500,874,384/53,720
  6. Step 6: Final answer
    x = 121,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.