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Finding the Third Proportional to 65,889 and 98,653

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Solution

The third proportional to 65,889 and 98,653 is: 147,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,889 : 98,653 = 98,653 : x
  2. Step 2: Convert to fraction form
    65,889/98,653 = 98,653/x
  3. Step 3: Cross multiply
    65,889x = 98,653 × 98,653
  4. Step 4: Simplify right side
    65,889x = 9,732,414,409
  5. Step 5: Solve for x
    x = 9,732,414,409/65,889
  6. Step 6: Final answer
    x = 147,709.24

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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.