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Finding the Third Proportional to 65,529 and 98,190

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Solution

The third proportional to 65,529 and 98,190 is: 147,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529 : 98,190 = 98,190 : x
  2. Step 2: Convert to fraction form
    65,529/98,190 = 98,190/x
  3. Step 3: Cross multiply
    65,529x = 98,190 × 98,190
  4. Step 4: Simplify right side
    65,529x = 9,641,276,100
  5. Step 5: Solve for x
    x = 9,641,276,100/65,529
  6. Step 6: Final answer
    x = 147,129.91

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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.