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Finding the Third Proportional to 122,025.75 and 249,997.88

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Solution

The third proportional to 122,025.75 and 249,997.88 is: 512,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,025.75 : 249,997.88 = 249,997.88 : x
  2. Step 2: Convert to fraction form
    122,025.75/249,997.88 = 249,997.88/x
  3. Step 3: Cross multiply
    122,025.75x = 249,997.88 × 249,997.88
  4. Step 4: Simplify right side
    122,025.75x = 62,498,937,504.52
  5. Step 5: Solve for x
    x = 62,498,937,504.52/122,025.75
  6. Step 6: Final answer
    x = 512,178.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.