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Finding the Third Proportional to 106,504 and 161,700

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Solution

The third proportional to 106,504 and 161,700 is: 245,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,504 : 161,700 = 161,700 : x
  2. Step 2: Convert to fraction form
    106,504/161,700 = 161,700/x
  3. Step 3: Cross multiply
    106,504x = 161,700 × 161,700
  4. Step 4: Simplify right side
    106,504x = 26,146,890,000
  5. Step 5: Solve for x
    x = 26,146,890,000/106,504
  6. Step 6: Final answer
    x = 245,501.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.