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Finding the Third Proportional to 65,863.50 and 142,095

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Solution

The third proportional to 65,863.50 and 142,095 is: 306,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.50 : 142,095 = 142,095 : x
  2. Step 2: Convert to fraction form
    65,863.50/142,095 = 142,095/x
  3. Step 3: Cross multiply
    65,863.50x = 142,095 × 142,095
  4. Step 4: Simplify right side
    65,863.50x = 20,190,989,025
  5. Step 5: Solve for x
    x = 20,190,989,025/65,863.50
  6. Step 6: Final answer
    x = 306,558.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.