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Finding the Third Proportional to 52,938 and 114,390

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Solution

The third proportional to 52,938 and 114,390 is: 247,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938 : 114,390 = 114,390 : x
  2. Step 2: Convert to fraction form
    52,938/114,390 = 114,390/x
  3. Step 3: Cross multiply
    52,938x = 114,390 × 114,390
  4. Step 4: Simplify right side
    52,938x = 13,085,072,100
  5. Step 5: Solve for x
    x = 13,085,072,100/52,938
  6. Step 6: Final answer
    x = 247,177.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.