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Finding the Third Proportional to 59,828 and 93,858

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Solution

The third proportional to 59,828 and 93,858 is: 147,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,828 : 93,858 = 93,858 : x
  2. Step 2: Convert to fraction form
    59,828/93,858 = 93,858/x
  3. Step 3: Cross multiply
    59,828x = 93,858 × 93,858
  4. Step 4: Simplify right side
    59,828x = 8,809,324,164
  5. Step 5: Solve for x
    x = 8,809,324,164/59,828
  6. Step 6: Final answer
    x = 147,244.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.