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Finding the Third Proportional to 43,004 and 65,154

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Solution

The third proportional to 43,004 and 65,154 is: 98,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,004 : 65,154 = 65,154 : x
  2. Step 2: Convert to fraction form
    43,004/65,154 = 65,154/x
  3. Step 3: Cross multiply
    43,004x = 65,154 × 65,154
  4. Step 4: Simplify right side
    43,004x = 4,245,043,716
  5. Step 5: Solve for x
    x = 4,245,043,716/43,004
  6. Step 6: Final answer
    x = 98,712.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.