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Finding the Third Proportional to 35,870 and 73,200

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Solution

The third proportional to 35,870 and 73,200 is: 149,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,870 : 73,200 = 73,200 : x
  2. Step 2: Convert to fraction form
    35,870/73,200 = 73,200/x
  3. Step 3: Cross multiply
    35,870x = 73,200 × 73,200
  4. Step 4: Simplify right side
    35,870x = 5,358,240,000
  5. Step 5: Solve for x
    x = 5,358,240,000/35,870
  6. Step 6: Final answer
    x = 149,379.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.