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Finding the Third Proportional to 111,302 and 155,693.50

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Solution

The third proportional to 111,302 and 155,693.50 is: 217,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,302 : 155,693.50 = 155,693.50 : x
  2. Step 2: Convert to fraction form
    111,302/155,693.50 = 155,693.50/x
  3. Step 3: Cross multiply
    111,302x = 155,693.50 × 155,693.50
  4. Step 4: Simplify right side
    111,302x = 24,240,465,942.25
  5. Step 5: Solve for x
    x = 24,240,465,942.25/111,302
  6. Step 6: Final answer
    x = 217,790.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.