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Finding the Third Proportional to 54,064.13 and 116,119.69

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Solution

The third proportional to 54,064.13 and 116,119.69 is: 249,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,064.13 : 116,119.69 = 116,119.69 : x
  2. Step 2: Convert to fraction form
    54,064.13/116,119.69 = 116,119.69/x
  3. Step 3: Cross multiply
    54,064.13x = 116,119.69 × 116,119.69
  4. Step 4: Simplify right side
    54,064.13x = 13,483,781,825.10
  5. Step 5: Solve for x
    x = 13,483,781,825.10/54,064.13
  6. Step 6: Final answer
    x = 249,403.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.