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Finding the Third Proportional to 115,020 and 168,662.25

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Solution

The third proportional to 115,020 and 168,662.25 is: 247,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,020 : 168,662.25 = 168,662.25 : x
  2. Step 2: Convert to fraction form
    115,020/168,662.25 = 168,662.25/x
  3. Step 3: Cross multiply
    115,020x = 168,662.25 × 168,662.25
  4. Step 4: Simplify right side
    115,020x = 28,446,954,575.06
  5. Step 5: Solve for x
    x = 28,446,954,575.06/115,020
  6. Step 6: Final answer
    x = 247,321.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.