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Finding the Third Proportional to 95,740 and 201,277

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Solution

The third proportional to 95,740 and 201,277 is: 423,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,740 : 201,277 = 201,277 : x
  2. Step 2: Convert to fraction form
    95,740/201,277 = 201,277/x
  3. Step 3: Cross multiply
    95,740x = 201,277 × 201,277
  4. Step 4: Simplify right side
    95,740x = 40,512,430,729
  5. Step 5: Solve for x
    x = 40,512,430,729/95,740
  6. Step 6: Final answer
    x = 423,150.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.