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Finding the Third Proportional to 111,058 and 158,280

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Solution

The third proportional to 111,058 and 158,280 is: 225,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,058 : 158,280 = 158,280 : x
  2. Step 2: Convert to fraction form
    111,058/158,280 = 158,280/x
  3. Step 3: Cross multiply
    111,058x = 158,280 × 158,280
  4. Step 4: Simplify right side
    111,058x = 25,052,558,400
  5. Step 5: Solve for x
    x = 25,052,558,400/111,058
  6. Step 6: Final answer
    x = 225,580.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.