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Finding the Third Proportional to 55,165 and 116,810

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Solution

The third proportional to 55,165 and 116,810 is: 247,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165 : 116,810 = 116,810 : x
  2. Step 2: Convert to fraction form
    55,165/116,810 = 116,810/x
  3. Step 3: Cross multiply
    55,165x = 116,810 × 116,810
  4. Step 4: Simplify right side
    55,165x = 13,644,576,100
  5. Step 5: Solve for x
    x = 13,644,576,100/55,165
  6. Step 6: Final answer
    x = 247,341.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.