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Finding the Third Proportional to 41,865 and 91,602

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Solution

The third proportional to 41,865 and 91,602 is: 200,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,865 : 91,602 = 91,602 : x
  2. Step 2: Convert to fraction form
    41,865/91,602 = 91,602/x
  3. Step 3: Cross multiply
    41,865x = 91,602 × 91,602
  4. Step 4: Simplify right side
    41,865x = 8,390,926,404
  5. Step 5: Solve for x
    x = 8,390,926,404/41,865
  6. Step 6: Final answer
    x = 200,428.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.