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Finding the Third Proportional to 116,145 and 163,559.25

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Solution

The third proportional to 116,145 and 163,559.25 is: 230,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,145 : 163,559.25 = 163,559.25 : x
  2. Step 2: Convert to fraction form
    116,145/163,559.25 = 163,559.25/x
  3. Step 3: Cross multiply
    116,145x = 163,559.25 × 163,559.25
  4. Step 4: Simplify right side
    116,145x = 26,751,628,260.56
  5. Step 5: Solve for x
    x = 26,751,628,260.56/116,145
  6. Step 6: Final answer
    x = 230,329.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.