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Finding the Third Proportional to 95,692 and 223,507

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Solution

The third proportional to 95,692 and 223,507 is: 522,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,692 : 223,507 = 223,507 : x
  2. Step 2: Convert to fraction form
    95,692/223,507 = 223,507/x
  3. Step 3: Cross multiply
    95,692x = 223,507 × 223,507
  4. Step 4: Simplify right side
    95,692x = 49,955,379,049
  5. Step 5: Solve for x
    x = 49,955,379,049/95,692
  6. Step 6: Final answer
    x = 522,043.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.