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Finding the Third Proportional to 54,213 and 118,632

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Solution

The third proportional to 54,213 and 118,632 is: 259,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,213 : 118,632 = 118,632 : x
  2. Step 2: Convert to fraction form
    54,213/118,632 = 118,632/x
  3. Step 3: Cross multiply
    54,213x = 118,632 × 118,632
  4. Step 4: Simplify right side
    54,213x = 14,073,551,424
  5. Step 5: Solve for x
    x = 14,073,551,424/54,213
  6. Step 6: Final answer
    x = 259,597.36

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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.