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Finding the Third Proportional to 61,828 and 90,150

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Solution

The third proportional to 61,828 and 90,150 is: 131,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,828 : 90,150 = 90,150 : x
  2. Step 2: Convert to fraction form
    61,828/90,150 = 90,150/x
  3. Step 3: Cross multiply
    61,828x = 90,150 × 90,150
  4. Step 4: Simplify right side
    61,828x = 8,127,022,500
  5. Step 5: Solve for x
    x = 8,127,022,500/61,828
  6. Step 6: Final answer
    x = 131,445.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.