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Finding the Third Proportional to 54,461.13 and 117,969.13

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Solution

The third proportional to 54,461.13 and 117,969.13 is: 255,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,461.13 : 117,969.13 = 117,969.13 : x
  2. Step 2: Convert to fraction form
    54,461.13/117,969.13 = 117,969.13/x
  3. Step 3: Cross multiply
    54,461.13x = 117,969.13 × 117,969.13
  4. Step 4: Simplify right side
    54,461.13x = 13,916,714,453.27
  5. Step 5: Solve for x
    x = 13,916,714,453.27/54,461.13
  6. Step 6: Final answer
    x = 255,534.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.