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Finding the Third Proportional to 43,006 and 65,158

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Solution

The third proportional to 43,006 and 65,158 is: 98,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,006 : 65,158 = 65,158 : x
  2. Step 2: Convert to fraction form
    43,006/65,158 = 65,158/x
  3. Step 3: Cross multiply
    43,006x = 65,158 × 65,158
  4. Step 4: Simplify right side
    43,006x = 4,245,564,964
  5. Step 5: Solve for x
    x = 4,245,564,964/43,006
  6. Step 6: Final answer
    x = 98,720.29

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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.