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Finding the Third Proportional to 54,920 and 120,534

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Solution

The third proportional to 54,920 and 120,534 is: 264,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920 : 120,534 = 120,534 : x
  2. Step 2: Convert to fraction form
    54,920/120,534 = 120,534/x
  3. Step 3: Cross multiply
    54,920x = 120,534 × 120,534
  4. Step 4: Simplify right side
    54,920x = 14,528,445,156
  5. Step 5: Solve for x
    x = 14,528,445,156/54,920
  6. Step 6: Final answer
    x = 264,538.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.