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Finding the Third Proportional to 137,274 and 251,766.75

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Solution

The third proportional to 137,274 and 251,766.75 is: 461,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,274 : 251,766.75 = 251,766.75 : x
  2. Step 2: Convert to fraction form
    137,274/251,766.75 = 251,766.75/x
  3. Step 3: Cross multiply
    137,274x = 251,766.75 × 251,766.75
  4. Step 4: Simplify right side
    137,274x = 63,386,496,405.56
  5. Step 5: Solve for x
    x = 63,386,496,405.56/137,274
  6. Step 6: Final answer
    x = 461,751.65

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.