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Finding the Third Proportional to 116,703 and 165,145.50

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Solution

The third proportional to 116,703 and 165,145.50 is: 233,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,703 : 165,145.50 = 165,145.50 : x
  2. Step 2: Convert to fraction form
    116,703/165,145.50 = 165,145.50/x
  3. Step 3: Cross multiply
    116,703x = 165,145.50 × 165,145.50
  4. Step 4: Simplify right side
    116,703x = 27,273,036,170.25
  5. Step 5: Solve for x
    x = 27,273,036,170.25/116,703
  6. Step 6: Final answer
    x = 233,696.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.