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Finding the Third Proportional to 54,465 and 120,594

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Solution

The third proportional to 54,465 and 120,594 is: 267,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465 : 120,594 = 120,594 : x
  2. Step 2: Convert to fraction form
    54,465/120,594 = 120,594/x
  3. Step 3: Cross multiply
    54,465x = 120,594 × 120,594
  4. Step 4: Simplify right side
    54,465x = 14,542,912,836
  5. Step 5: Solve for x
    x = 14,542,912,836/54,465
  6. Step 6: Final answer
    x = 267,013.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.