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Finding the Third Proportional to 43,158 and 66,246

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Solution

The third proportional to 43,158 and 66,246 is: 101,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,158 : 66,246 = 66,246 : x
  2. Step 2: Convert to fraction form
    43,158/66,246 = 66,246/x
  3. Step 3: Cross multiply
    43,158x = 66,246 × 66,246
  4. Step 4: Simplify right side
    43,158x = 4,388,532,516
  5. Step 5: Solve for x
    x = 4,388,532,516/43,158
  6. Step 6: Final answer
    x = 101,685.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.