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Finding the Third Proportional to 126,056 and 268,798

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Solution

The third proportional to 126,056 and 268,798 is: 573,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,056 : 268,798 = 268,798 : x
  2. Step 2: Convert to fraction form
    126,056/268,798 = 268,798/x
  3. Step 3: Cross multiply
    126,056x = 268,798 × 268,798
  4. Step 4: Simplify right side
    126,056x = 72,252,364,804
  5. Step 5: Solve for x
    x = 72,252,364,804/126,056
  6. Step 6: Final answer
    x = 573,176.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.