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Finding the Third Proportional to 71,172 and 103,085

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Solution

The third proportional to 71,172 and 103,085 is: 149,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172 : 103,085 = 103,085 : x
  2. Step 2: Convert to fraction form
    71,172/103,085 = 103,085/x
  3. Step 3: Cross multiply
    71,172x = 103,085 × 103,085
  4. Step 4: Simplify right side
    71,172x = 10,626,517,225
  5. Step 5: Solve for x
    x = 10,626,517,225/71,172
  6. Step 6: Final answer
    x = 149,307.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.