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Finding the Third Proportional to 95,806 and 201,534

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Solution

The third proportional to 95,806 and 201,534 is: 423,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,806 : 201,534 = 201,534 : x
  2. Step 2: Convert to fraction form
    95,806/201,534 = 201,534/x
  3. Step 3: Cross multiply
    95,806x = 201,534 × 201,534
  4. Step 4: Simplify right side
    95,806x = 40,615,953,156
  5. Step 5: Solve for x
    x = 40,615,953,156/95,806
  6. Step 6: Final answer
    x = 423,939.56

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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.