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Finding the Third Proportional to 43,620 and 67,141

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Solution

The third proportional to 43,620 and 67,141 is: 103,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,620 : 67,141 = 67,141 : x
  2. Step 2: Convert to fraction form
    43,620/67,141 = 67,141/x
  3. Step 3: Cross multiply
    43,620x = 67,141 × 67,141
  4. Step 4: Simplify right side
    43,620x = 4,507,913,881
  5. Step 5: Solve for x
    x = 4,507,913,881/43,620
  6. Step 6: Final answer
    x = 103,345.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.