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Finding the Third Proportional to 65,445.50 and 105,002

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Solution

The third proportional to 65,445.50 and 105,002 is: 168,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445.50 : 105,002 = 105,002 : x
  2. Step 2: Convert to fraction form
    65,445.50/105,002 = 105,002/x
  3. Step 3: Cross multiply
    65,445.50x = 105,002 × 105,002
  4. Step 4: Simplify right side
    65,445.50x = 11,025,420,004
  5. Step 5: Solve for x
    x = 11,025,420,004/65,445.50
  6. Step 6: Final answer
    x = 168,467.20

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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.