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Finding the Third Proportional to 68,504 and 148,670

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Solution

The third proportional to 68,504 and 148,670 is: 322,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,504 : 148,670 = 148,670 : x
  2. Step 2: Convert to fraction form
    68,504/148,670 = 148,670/x
  3. Step 3: Cross multiply
    68,504x = 148,670 × 148,670
  4. Step 4: Simplify right side
    68,504x = 22,102,768,900
  5. Step 5: Solve for x
    x = 22,102,768,900/68,504
  6. Step 6: Final answer
    x = 322,649.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.