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Finding the Third Proportional to 52,007 and 101,421

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Solution

The third proportional to 52,007 and 101,421 is: 197,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007 : 101,421 = 101,421 : x
  2. Step 2: Convert to fraction form
    52,007/101,421 = 101,421/x
  3. Step 3: Cross multiply
    52,007x = 101,421 × 101,421
  4. Step 4: Simplify right side
    52,007x = 10,286,219,241
  5. Step 5: Solve for x
    x = 10,286,219,241/52,007
  6. Step 6: Final answer
    x = 197,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.