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Finding the Third Proportional to 52,694.30 and 80,359.59

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Solution

The third proportional to 52,694.30 and 80,359.59 is: 122,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,694.30 : 80,359.59 = 80,359.59 : x
  2. Step 2: Convert to fraction form
    52,694.30/80,359.59 = 80,359.59/x
  3. Step 3: Cross multiply
    52,694.30x = 80,359.59 × 80,359.59
  4. Step 4: Simplify right side
    52,694.30x = 6,457,664,307.67
  5. Step 5: Solve for x
    x = 6,457,664,307.67/52,694.30
  6. Step 6: Final answer
    x = 122,549.59

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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.