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Finding the Third Proportional to 122,535.28 and 265,425.61

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Solution

The third proportional to 122,535.28 and 265,425.61 is: 574,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,535.28 : 265,425.61 = 265,425.61 : x
  2. Step 2: Convert to fraction form
    122,535.28/265,425.61 = 265,425.61/x
  3. Step 3: Cross multiply
    122,535.28x = 265,425.61 × 265,425.61
  4. Step 4: Simplify right side
    122,535.28x = 70,450,754,112.09
  5. Step 5: Solve for x
    x = 70,450,754,112.09/122,535.28
  6. Step 6: Final answer
    x = 574,942.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.