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Finding the Third Proportional to 43,502 and 69,141

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Solution

The third proportional to 43,502 and 69,141 is: 109,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,502 : 69,141 = 69,141 : x
  2. Step 2: Convert to fraction form
    43,502/69,141 = 69,141/x
  3. Step 3: Cross multiply
    43,502x = 69,141 × 69,141
  4. Step 4: Simplify right side
    43,502x = 4,780,477,881
  5. Step 5: Solve for x
    x = 4,780,477,881/43,502
  6. Step 6: Final answer
    x = 109,890.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.