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Finding the Third Proportional to 54,890 and 74,550

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Solution

The third proportional to 54,890 and 74,550 is: 101,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,890 : 74,550 = 74,550 : x
  2. Step 2: Convert to fraction form
    54,890/74,550 = 74,550/x
  3. Step 3: Cross multiply
    54,890x = 74,550 × 74,550
  4. Step 4: Simplify right side
    54,890x = 5,557,702,500
  5. Step 5: Solve for x
    x = 5,557,702,500/54,890
  6. Step 6: Final answer
    x = 101,251.64

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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.