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Finding the Third Proportional to 54,640 and 78,968

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Solution

The third proportional to 54,640 and 78,968 is: 114,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,640 : 78,968 = 78,968 : x
  2. Step 2: Convert to fraction form
    54,640/78,968 = 78,968/x
  3. Step 3: Cross multiply
    54,640x = 78,968 × 78,968
  4. Step 4: Simplify right side
    54,640x = 6,235,945,024
  5. Step 5: Solve for x
    x = 6,235,945,024/54,640
  6. Step 6: Final answer
    x = 114,127.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.