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Finding the Third Proportional to 123,062.63 and 254,665.69

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Solution

The third proportional to 123,062.63 and 254,665.69 is: 527,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,062.63 : 254,665.69 = 254,665.69 : x
  2. Step 2: Convert to fraction form
    123,062.63/254,665.69 = 254,665.69/x
  3. Step 3: Cross multiply
    123,062.63x = 254,665.69 × 254,665.69
  4. Step 4: Simplify right side
    123,062.63x = 64,854,612,389.85
  5. Step 5: Solve for x
    x = 64,854,612,389.85/123,062.63
  6. Step 6: Final answer
    x = 527,004.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.