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Finding the Third Proportional to 65,446 and 105,002.75

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Solution

The third proportional to 65,446 and 105,002.75 is: 168,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,446 : 105,002.75 = 105,002.75 : x
  2. Step 2: Convert to fraction form
    65,446/105,002.75 = 105,002.75/x
  3. Step 3: Cross multiply
    65,446x = 105,002.75 × 105,002.75
  4. Step 4: Simplify right side
    65,446x = 11,025,577,507.56
  5. Step 5: Solve for x
    x = 11,025,577,507.56/65,446
  6. Step 6: Final answer
    x = 168,468.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.