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Finding the Third Proportional to 122,046.12 and 250,038.14

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Solution

The third proportional to 122,046.12 and 250,038.14 is: 512,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,046.12 : 250,038.14 = 250,038.14 : x
  2. Step 2: Convert to fraction form
    122,046.12/250,038.14 = 250,038.14/x
  3. Step 3: Cross multiply
    122,046.12x = 250,038.14 × 250,038.14
  4. Step 4: Simplify right side
    122,046.12x = 62,519,071,767.21
  5. Step 5: Solve for x
    x = 62,519,071,767.21/122,046.12
  6. Step 6: Final answer
    x = 512,257.77

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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.