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Finding the Third Proportional to 54,692 and 119,507

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Solution

The third proportional to 54,692 and 119,507 is: 261,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692 : 119,507 = 119,507 : x
  2. Step 2: Convert to fraction form
    54,692/119,507 = 119,507/x
  3. Step 3: Cross multiply
    54,692x = 119,507 × 119,507
  4. Step 4: Simplify right side
    54,692x = 14,281,923,049
  5. Step 5: Solve for x
    x = 14,281,923,049/54,692
  6. Step 6: Final answer
    x = 261,133.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.