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Finding the Third Proportional to 101,828 and 152,934

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Solution

The third proportional to 101,828 and 152,934 is: 229,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,828 : 152,934 = 152,934 : x
  2. Step 2: Convert to fraction form
    101,828/152,934 = 152,934/x
  3. Step 3: Cross multiply
    101,828x = 152,934 × 152,934
  4. Step 4: Simplify right side
    101,828x = 23,388,808,356
  5. Step 5: Solve for x
    x = 23,388,808,356/101,828
  6. Step 6: Final answer
    x = 229,689.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.