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Finding the Third Proportional to 73,338 and 114,390

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Solution

The third proportional to 73,338 and 114,390 is: 178,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,338 : 114,390 = 114,390 : x
  2. Step 2: Convert to fraction form
    73,338/114,390 = 114,390/x
  3. Step 3: Cross multiply
    73,338x = 114,390 × 114,390
  4. Step 4: Simplify right side
    73,338x = 13,085,072,100
  5. Step 5: Solve for x
    x = 13,085,072,100/73,338
  6. Step 6: Final answer
    x = 178,421.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.