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Finding the Third Proportional to 59,814 and 125,828

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Solution

The third proportional to 59,814 and 125,828 is: 264,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,814 : 125,828 = 125,828 : x
  2. Step 2: Convert to fraction form
    59,814/125,828 = 125,828/x
  3. Step 3: Cross multiply
    59,814x = 125,828 × 125,828
  4. Step 4: Simplify right side
    59,814x = 15,832,685,584
  5. Step 5: Solve for x
    x = 15,832,685,584/59,814
  6. Step 6: Final answer
    x = 264,698.66

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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.