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Finding the Third Proportional to 54,557 and 74,059

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Solution

The third proportional to 54,557 and 74,059 is: 100,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,557 : 74,059 = 74,059 : x
  2. Step 2: Convert to fraction form
    54,557/74,059 = 74,059/x
  3. Step 3: Cross multiply
    54,557x = 74,059 × 74,059
  4. Step 4: Simplify right side
    54,557x = 5,484,735,481
  5. Step 5: Solve for x
    x = 5,484,735,481/54,557
  6. Step 6: Final answer
    x = 100,532.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.