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Finding the Third Proportional to 52,306 and 80,029

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Solution

The third proportional to 52,306 and 80,029 is: 122,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306 : 80,029 = 80,029 : x
  2. Step 2: Convert to fraction form
    52,306/80,029 = 80,029/x
  3. Step 3: Cross multiply
    52,306x = 80,029 × 80,029
  4. Step 4: Simplify right side
    52,306x = 6,404,640,841
  5. Step 5: Solve for x
    x = 6,404,640,841/52,306
  6. Step 6: Final answer
    x = 122,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.