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Finding the Third Proportional to 59,756 and 125,632

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Solution

The third proportional to 59,756 and 125,632 is: 264,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,756 : 125,632 = 125,632 : x
  2. Step 2: Convert to fraction form
    59,756/125,632 = 125,632/x
  3. Step 3: Cross multiply
    59,756x = 125,632 × 125,632
  4. Step 4: Simplify right side
    59,756x = 15,783,399,424
  5. Step 5: Solve for x
    x = 15,783,399,424/59,756
  6. Step 6: Final answer
    x = 264,130.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.