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Finding the Third Proportional to 52,769 and 80,490

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Solution

The third proportional to 52,769 and 80,490 is: 122,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769 : 80,490 = 80,490 : x
  2. Step 2: Convert to fraction form
    52,769/80,490 = 80,490/x
  3. Step 3: Cross multiply
    52,769x = 80,490 × 80,490
  4. Step 4: Simplify right side
    52,769x = 6,478,640,100
  5. Step 5: Solve for x
    x = 6,478,640,100/52,769
  6. Step 6: Final answer
    x = 122,773.60

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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.