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Finding the Third Proportional to 75,204 and 97,875

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Solution

The third proportional to 75,204 and 97,875 is: 127,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,204 : 97,875 = 97,875 : x
  2. Step 2: Convert to fraction form
    75,204/97,875 = 97,875/x
  3. Step 3: Cross multiply
    75,204x = 97,875 × 97,875
  4. Step 4: Simplify right side
    75,204x = 9,579,515,625
  5. Step 5: Solve for x
    x = 9,579,515,625/75,204
  6. Step 6: Final answer
    x = 127,380.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.