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Finding the Third Proportional to 95,532 and 202,442.50

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Solution

The third proportional to 95,532 and 202,442.50 is: 428,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,532 : 202,442.50 = 202,442.50 : x
  2. Step 2: Convert to fraction form
    95,532/202,442.50 = 202,442.50/x
  3. Step 3: Cross multiply
    95,532x = 202,442.50 × 202,442.50
  4. Step 4: Simplify right side
    95,532x = 40,982,965,806.25
  5. Step 5: Solve for x
    x = 40,982,965,806.25/95,532
  6. Step 6: Final answer
    x = 428,997.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.