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Finding the Third Proportional to 126,115.88 and 248,728.50

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Solution

The third proportional to 126,115.88 and 248,728.50 is: 490,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,115.88 : 248,728.50 = 248,728.50 : x
  2. Step 2: Convert to fraction form
    126,115.88/248,728.50 = 248,728.50/x
  3. Step 3: Cross multiply
    126,115.88x = 248,728.50 × 248,728.50
  4. Step 4: Simplify right side
    126,115.88x = 61,865,866,712.25
  5. Step 5: Solve for x
    x = 61,865,866,712.25/126,115.88
  6. Step 6: Final answer
    x = 490,547.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.