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Finding the Third Proportional to 113,838.38 and 175,890.38

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Solution

The third proportional to 113,838.38 and 175,890.38 is: 271,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,838.38 : 175,890.38 = 175,890.38 : x
  2. Step 2: Convert to fraction form
    113,838.38/175,890.38 = 175,890.38/x
  3. Step 3: Cross multiply
    113,838.38x = 175,890.38 × 175,890.38
  4. Step 4: Simplify right side
    113,838.38x = 30,937,424,017.64
  5. Step 5: Solve for x
    x = 30,937,424,017.64/113,838.38
  6. Step 6: Final answer
    x = 271,766.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.