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Finding the Third Proportional to 68,670 and 103,968

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Solution

The third proportional to 68,670 and 103,968 is: 157,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,670 : 103,968 = 103,968 : x
  2. Step 2: Convert to fraction form
    68,670/103,968 = 103,968/x
  3. Step 3: Cross multiply
    68,670x = 103,968 × 103,968
  4. Step 4: Simplify right side
    68,670x = 10,809,345,024
  5. Step 5: Solve for x
    x = 10,809,345,024/68,670
  6. Step 6: Final answer
    x = 157,410.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.