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Finding the Third Proportional to 103,680 and 165,055

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Solution

The third proportional to 103,680 and 165,055 is: 262,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 165,055 = 165,055 : x
  2. Step 2: Convert to fraction form
    103,680/165,055 = 165,055/x
  3. Step 3: Cross multiply
    103,680x = 165,055 × 165,055
  4. Step 4: Simplify right side
    103,680x = 27,243,153,025
  5. Step 5: Solve for x
    x = 27,243,153,025/103,680
  6. Step 6: Final answer
    x = 262,761.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.