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Finding the Third Proportional to 43,356 and 66,114

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Solution

The third proportional to 43,356 and 66,114 is: 100,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,356 : 66,114 = 66,114 : x
  2. Step 2: Convert to fraction form
    43,356/66,114 = 66,114/x
  3. Step 3: Cross multiply
    43,356x = 66,114 × 66,114
  4. Step 4: Simplify right side
    43,356x = 4,371,060,996
  5. Step 5: Solve for x
    x = 4,371,060,996/43,356
  6. Step 6: Final answer
    x = 100,817.90

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Why These Related Problems?

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