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Finding the Third Proportional to 54,551 and 74,050

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Solution

The third proportional to 54,551 and 74,050 is: 100,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,551 : 74,050 = 74,050 : x
  2. Step 2: Convert to fraction form
    54,551/74,050 = 74,050/x
  3. Step 3: Cross multiply
    54,551x = 74,050 × 74,050
  4. Step 4: Simplify right side
    54,551x = 5,483,402,500
  5. Step 5: Solve for x
    x = 5,483,402,500/54,551
  6. Step 6: Final answer
    x = 100,518.83

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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.