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Finding the Third Proportional to 54,746 and 84,935

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Solution

The third proportional to 54,746 and 84,935 is: 131,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,746 : 84,935 = 84,935 : x
  2. Step 2: Convert to fraction form
    54,746/84,935 = 84,935/x
  3. Step 3: Cross multiply
    54,746x = 84,935 × 84,935
  4. Step 4: Simplify right side
    54,746x = 7,213,954,225
  5. Step 5: Solve for x
    x = 7,213,954,225/54,746
  6. Step 6: Final answer
    x = 131,771.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.