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Finding the Third Proportional to 54,534 and 116,838

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Solution

The third proportional to 54,534 and 116,838 is: 250,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534 : 116,838 = 116,838 : x
  2. Step 2: Convert to fraction form
    54,534/116,838 = 116,838/x
  3. Step 3: Cross multiply
    54,534x = 116,838 × 116,838
  4. Step 4: Simplify right side
    54,534x = 13,651,118,244
  5. Step 5: Solve for x
    x = 13,651,118,244/54,534
  6. Step 6: Final answer
    x = 250,323.07

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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.