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Finding the Third Proportional to 49,390 and 76,592

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Solution

The third proportional to 49,390 and 76,592 is: 118,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390 : 76,592 = 76,592 : x
  2. Step 2: Convert to fraction form
    49,390/76,592 = 76,592/x
  3. Step 3: Cross multiply
    49,390x = 76,592 × 76,592
  4. Step 4: Simplify right side
    49,390x = 5,866,334,464
  5. Step 5: Solve for x
    x = 5,866,334,464/49,390
  6. Step 6: Final answer
    x = 118,775.75

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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.