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Finding the Third Proportional to 59,115 and 125,898

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Solution

The third proportional to 59,115 and 125,898 is: 268,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,115 : 125,898 = 125,898 : x
  2. Step 2: Convert to fraction form
    59,115/125,898 = 125,898/x
  3. Step 3: Cross multiply
    59,115x = 125,898 × 125,898
  4. Step 4: Simplify right side
    59,115x = 15,850,306,404
  5. Step 5: Solve for x
    x = 15,850,306,404/59,115
  6. Step 6: Final answer
    x = 268,126.64

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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.