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Finding the Third Proportional to 49,291.88 and 77,223.38

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Solution

The third proportional to 49,291.88 and 77,223.38 is: 120,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,291.88 : 77,223.38 = 77,223.38 : x
  2. Step 2: Convert to fraction form
    49,291.88/77,223.38 = 77,223.38/x
  3. Step 3: Cross multiply
    49,291.88x = 77,223.38 × 77,223.38
  4. Step 4: Simplify right side
    49,291.88x = 5,963,449,646.39
  5. Step 5: Solve for x
    x = 5,963,449,646.39/49,291.88
  6. Step 6: Final answer
    x = 120,982.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.