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Finding the Third Proportional to 85,532.63 and 123,206.63

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Solution

The third proportional to 85,532.63 and 123,206.63 is: 177,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,532.63 : 123,206.63 = 123,206.63 : x
  2. Step 2: Convert to fraction form
    85,532.63/123,206.63 = 123,206.63/x
  3. Step 3: Cross multiply
    85,532.63x = 123,206.63 × 123,206.63
  4. Step 4: Simplify right side
    85,532.63x = 15,179,872,443.89
  5. Step 5: Solve for x
    x = 15,179,872,443.89/85,532.63
  6. Step 6: Final answer
    x = 177,474.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.