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Finding the Third Proportional to 73,588.50 and 158,949

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Solution

The third proportional to 73,588.50 and 158,949 is: 343,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,588.50 : 158,949 = 158,949 : x
  2. Step 2: Convert to fraction form
    73,588.50/158,949 = 158,949/x
  3. Step 3: Cross multiply
    73,588.50x = 158,949 × 158,949
  4. Step 4: Simplify right side
    73,588.50x = 25,264,784,601
  5. Step 5: Solve for x
    x = 25,264,784,601/73,588.50
  6. Step 6: Final answer
    x = 343,325.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.