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Finding the Third Proportional to 59,125 and 125,918

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Solution

The third proportional to 59,125 and 125,918 is: 268,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,125 : 125,918 = 125,918 : x
  2. Step 2: Convert to fraction form
    59,125/125,918 = 125,918/x
  3. Step 3: Cross multiply
    59,125x = 125,918 × 125,918
  4. Step 4: Simplify right side
    59,125x = 15,855,342,724
  5. Step 5: Solve for x
    x = 15,855,342,724/59,125
  6. Step 6: Final answer
    x = 268,166.47

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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.