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Finding the Third Proportional to 50,640 and 74,008

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Solution

The third proportional to 50,640 and 74,008 is: 108,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640 : 74,008 = 74,008 : x
  2. Step 2: Convert to fraction form
    50,640/74,008 = 74,008/x
  3. Step 3: Cross multiply
    50,640x = 74,008 × 74,008
  4. Step 4: Simplify right side
    50,640x = 5,477,184,064
  5. Step 5: Solve for x
    x = 5,477,184,064/50,640
  6. Step 6: Final answer
    x = 108,159.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.