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Finding the Third Proportional to 54,263.25 and 116,313.47

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Solution

The third proportional to 54,263.25 and 116,313.47 is: 249,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,263.25 : 116,313.47 = 116,313.47 : x
  2. Step 2: Convert to fraction form
    54,263.25/116,313.47 = 116,313.47/x
  3. Step 3: Cross multiply
    54,263.25x = 116,313.47 × 116,313.47
  4. Step 4: Simplify right side
    54,263.25x = 13,528,823,012.66
  5. Step 5: Solve for x
    x = 13,528,823,012.66/54,263.25
  6. Step 6: Final answer
    x = 249,318.33

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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.