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Finding the Third Proportional to 56,204 and 75,178

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Solution

The third proportional to 56,204 and 75,178 is: 100,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,204 : 75,178 = 75,178 : x
  2. Step 2: Convert to fraction form
    56,204/75,178 = 75,178/x
  3. Step 3: Cross multiply
    56,204x = 75,178 × 75,178
  4. Step 4: Simplify right side
    56,204x = 5,651,731,684
  5. Step 5: Solve for x
    x = 5,651,731,684/56,204
  6. Step 6: Final answer
    x = 100,557.46

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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.