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Finding the Third Proportional to 75,937.50 and 175,800.38

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Solution

The third proportional to 75,937.50 and 175,800.38 is: 406,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,937.50 : 175,800.38 = 175,800.38 : x
  2. Step 2: Convert to fraction form
    75,937.50/175,800.38 = 175,800.38/x
  3. Step 3: Cross multiply
    75,937.50x = 175,800.38 × 175,800.38
  4. Step 4: Simplify right side
    75,937.50x = 30,905,771,850.14
  5. Step 5: Solve for x
    x = 30,905,771,850.14/75,937.50
  6. Step 6: Final answer
    x = 406,989.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.