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Finding the Third Proportional to 54,964 and 118,616

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Solution

The third proportional to 54,964 and 118,616 is: 255,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964 : 118,616 = 118,616 : x
  2. Step 2: Convert to fraction form
    54,964/118,616 = 118,616/x
  3. Step 3: Cross multiply
    54,964x = 118,616 × 118,616
  4. Step 4: Simplify right side
    54,964x = 14,069,755,456
  5. Step 5: Solve for x
    x = 14,069,755,456/54,964
  6. Step 6: Final answer
    x = 255,981.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.