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Finding the Third Proportional to 54,901.13 and 114,567.75

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Solution

The third proportional to 54,901.13 and 114,567.75 is: 239,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.13 : 114,567.75 = 114,567.75 : x
  2. Step 2: Convert to fraction form
    54,901.13/114,567.75 = 114,567.75/x
  3. Step 3: Cross multiply
    54,901.13x = 114,567.75 × 114,567.75
  4. Step 4: Simplify right side
    54,901.13x = 13,125,769,340.06
  5. Step 5: Solve for x
    x = 13,125,769,340.06/54,901.13
  6. Step 6: Final answer
    x = 239,080.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.