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Finding the Third Proportional to 101,954.50 and 160,670

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Solution

The third proportional to 101,954.50 and 160,670 is: 253,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.50 : 160,670 = 160,670 : x
  2. Step 2: Convert to fraction form
    101,954.50/160,670 = 160,670/x
  3. Step 3: Cross multiply
    101,954.50x = 160,670 × 160,670
  4. Step 4: Simplify right side
    101,954.50x = 25,814,848,900
  5. Step 5: Solve for x
    x = 25,814,848,900/101,954.50
  6. Step 6: Final answer
    x = 253,199.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.