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Finding the Third Proportional to 54,948 and 105,519

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Solution

The third proportional to 54,948 and 105,519 is: 202,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948 : 105,519 = 105,519 : x
  2. Step 2: Convert to fraction form
    54,948/105,519 = 105,519/x
  3. Step 3: Cross multiply
    54,948x = 105,519 × 105,519
  4. Step 4: Simplify right side
    54,948x = 11,134,259,361
  5. Step 5: Solve for x
    x = 11,134,259,361/54,948
  6. Step 6: Final answer
    x = 202,632.66

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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.