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Finding the Third Proportional to 57,608 and 77,422

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Solution

The third proportional to 57,608 and 77,422 is: 104,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,608 : 77,422 = 77,422 : x
  2. Step 2: Convert to fraction form
    57,608/77,422 = 77,422/x
  3. Step 3: Cross multiply
    57,608x = 77,422 × 77,422
  4. Step 4: Simplify right side
    57,608x = 5,994,166,084
  5. Step 5: Solve for x
    x = 5,994,166,084/57,608
  6. Step 6: Final answer
    x = 104,050.93

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.