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Finding the Third Proportional to 52,870 and 72,500

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Solution

The third proportional to 52,870 and 72,500 is: 99,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870 : 72,500 = 72,500 : x
  2. Step 2: Convert to fraction form
    52,870/72,500 = 72,500/x
  3. Step 3: Cross multiply
    52,870x = 72,500 × 72,500
  4. Step 4: Simplify right side
    52,870x = 5,256,250,000
  5. Step 5: Solve for x
    x = 5,256,250,000/52,870
  6. Step 6: Final answer
    x = 99,418.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.