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Finding the Third Proportional to 52,697 and 80,359

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Solution

The third proportional to 52,697 and 80,359 is: 122,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,697 : 80,359 = 80,359 : x
  2. Step 2: Convert to fraction form
    52,697/80,359 = 80,359/x
  3. Step 3: Cross multiply
    52,697x = 80,359 × 80,359
  4. Step 4: Simplify right side
    52,697x = 6,457,568,881
  5. Step 5: Solve for x
    x = 6,457,568,881/52,697
  6. Step 6: Final answer
    x = 122,541.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.