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Finding the Third Proportional to 54,946.50 and 117,669

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Solution

The third proportional to 54,946.50 and 117,669 is: 251,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946.50 : 117,669 = 117,669 : x
  2. Step 2: Convert to fraction form
    54,946.50/117,669 = 117,669/x
  3. Step 3: Cross multiply
    54,946.50x = 117,669 × 117,669
  4. Step 4: Simplify right side
    54,946.50x = 13,845,993,561
  5. Step 5: Solve for x
    x = 13,845,993,561/54,946.50
  6. Step 6: Final answer
    x = 251,990.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.