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Finding the Third Proportional to 54,952 and 105,526

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Solution

The third proportional to 54,952 and 105,526 is: 202,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952 : 105,526 = 105,526 : x
  2. Step 2: Convert to fraction form
    54,952/105,526 = 105,526/x
  3. Step 3: Cross multiply
    54,952x = 105,526 × 105,526
  4. Step 4: Simplify right side
    54,952x = 11,135,736,676
  5. Step 5: Solve for x
    x = 11,135,736,676/54,952
  6. Step 6: Final answer
    x = 202,644.79

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.