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Finding the Third Proportional to 56,202 and 75,175

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Solution

The third proportional to 56,202 and 75,175 is: 100,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202 : 75,175 = 75,175 : x
  2. Step 2: Convert to fraction form
    56,202/75,175 = 75,175/x
  3. Step 3: Cross multiply
    56,202x = 75,175 × 75,175
  4. Step 4: Simplify right side
    56,202x = 5,651,280,625
  5. Step 5: Solve for x
    x = 5,651,280,625/56,202
  6. Step 6: Final answer
    x = 100,553.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.