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Finding the Third Proportional to 95,402 and 207,205

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Solution

The third proportional to 95,402 and 207,205 is: 450,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,402 : 207,205 = 207,205 : x
  2. Step 2: Convert to fraction form
    95,402/207,205 = 207,205/x
  3. Step 3: Cross multiply
    95,402x = 207,205 × 207,205
  4. Step 4: Simplify right side
    95,402x = 42,933,912,025
  5. Step 5: Solve for x
    x = 42,933,912,025/95,402
  6. Step 6: Final answer
    x = 450,031.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.