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Finding the Third Proportional to 59,054 and 125,762

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Solution

The third proportional to 59,054 and 125,762 is: 267,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,054 : 125,762 = 125,762 : x
  2. Step 2: Convert to fraction form
    59,054/125,762 = 125,762/x
  3. Step 3: Cross multiply
    59,054x = 125,762 × 125,762
  4. Step 4: Simplify right side
    59,054x = 15,816,080,644
  5. Step 5: Solve for x
    x = 15,816,080,644/59,054
  6. Step 6: Final answer
    x = 267,824.04

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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.